Finding the Fourth Proportional to 189,721,988,432.95, 284,572,507,526.98 and 138,722,547,251.80
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Solution
The fourth proportional to 189,721,988,432.95, 284,572,507,526.98 and 138,722,547,251.80 is: 208,076,161,588.02
Step by Step Solution
- Step 1: Write the proportion equation
189,721,988,432.95 : 284,572,507,526.98 = 138,722,547,251.80 : x - Step 2: Convert to fraction form
189,721,988,432.95/284,572,507,526.98 = 138,722,547,251.80/x - Step 3: Cross multiply
189,721,988,432.95x = 284,572,507,526.98 × 138,722,547,251.80 - Step 4: Simplify right side
189,721,988,432.95x = 39,476,623,121,974,690,840,576 - Step 5: Solve for x
x = 39,476,623,121,974,690,840,576/189,721,988,432.95 - Step 6: Final answer
x = 208,076,161,588.02
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.