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Finding the Fourth Proportional to 124,857.10, 187,403.10 and 65,735.20

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Solution

The fourth proportional to 124,857.10, 187,403.10 and 65,735.20 is: 98,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,857.10 : 187,403.10 = 65,735.20 : x
  2. Step 2: Convert to fraction form
    124,857.10/187,403.10 = 65,735.20/x
  3. Step 3: Cross multiply
    124,857.10x = 187,403.10 × 65,735.20
  4. Step 4: Simplify right side
    124,857.10x = 12,318,980,259.12
  5. Step 5: Solve for x
    x = 12,318,980,259.12/124,857.10
  6. Step 6: Final answer
    x = 98,664.64

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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.