Finding the Fourth Proportional to 180,346,426.62, 248,878,158.84 and 97,840,189.50
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Solution
The fourth proportional to 180,346,426.62, 248,878,158.84 and 97,840,189.50 is: 135,019,510.39
Step by Step Solution
- Step 1: Write the proportion equation
180,346,426.62 : 248,878,158.84 = 97,840,189.50 : x - Step 2: Convert to fraction form
180,346,426.62/248,878,158.84 = 97,840,189.50/x - Step 3: Cross multiply
180,346,426.62x = 248,878,158.84 × 97,840,189.50 - Step 4: Simplify right side
180,346,426.62x = 24,350,286,223,316,700 - Step 5: Solve for x
x = 24,350,286,223,316,700/180,346,426.62 - Step 6: Final answer
x = 135,019,510.39
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.