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Finding the Fourth Proportional to 102,358.64, 141,255.93 and 59,918.06

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Solution

The fourth proportional to 102,358.64, 141,255.93 and 59,918.06 is: 82,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,358.64 : 141,255.93 = 59,918.06 : x
  2. Step 2: Convert to fraction form
    102,358.64/141,255.93 = 59,918.06/x
  3. Step 3: Cross multiply
    102,358.64x = 141,255.93 × 59,918.06
  4. Step 4: Simplify right side
    102,358.64x = 8,463,781,289.10
  5. Step 5: Solve for x
    x = 8,463,781,289.10/102,358.64
  6. Step 6: Final answer
    x = 82,687.51

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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.