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Finding the Fourth Proportional to 135,531.16, 203,428.10 and 65,459.80

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Solution

The fourth proportional to 135,531.16, 203,428.10 and 65,459.80 is: 98,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,531.16 : 203,428.10 = 65,459.80 : x
  2. Step 2: Convert to fraction form
    135,531.16/203,428.10 = 65,459.80/x
  3. Step 3: Cross multiply
    135,531.16x = 203,428.10 × 65,459.80
  4. Step 4: Simplify right side
    135,531.16x = 13,316,362,740.38
  5. Step 5: Solve for x
    x = 13,316,362,740.38/135,531.16
  6. Step 6: Final answer
    x = 98,253.15

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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.