Finding the Fourth Proportional to 205,758,106.92, 284,181,848.20 and 135,507,752.18
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Solution
The fourth proportional to 205,758,106.92, 284,181,848.20 and 135,507,752.18 is: 187,155,898.92
Step by Step Solution
- Step 1: Write the proportion equation
205,758,106.92 : 284,181,848.20 = 135,507,752.18 : x - Step 2: Convert to fraction form
205,758,106.92/284,181,848.20 = 135,507,752.18/x - Step 3: Cross multiply
205,758,106.92x = 284,181,848.20 × 135,507,752.18 - Step 4: Simplify right side
205,758,106.92x = 38,508,843,459,939,976 - Step 5: Solve for x
x = 38,508,843,459,939,976/205,758,106.92 - Step 6: Final answer
x = 187,155,898.92
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.