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Finding the Fourth Proportional to 142,259.64, 213,389.46 and 42,489.92

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Solution

The fourth proportional to 142,259.64, 213,389.46 and 42,489.92 is: 63,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,259.64 : 213,389.46 = 42,489.92 : x
  2. Step 2: Convert to fraction form
    142,259.64/213,389.46 = 42,489.92/x
  3. Step 3: Cross multiply
    142,259.64x = 213,389.46 × 42,489.92
  4. Step 4: Simplify right side
    142,259.64x = 9,066,900,017.30
  5. Step 5: Solve for x
    x = 9,066,900,017.30/142,259.64
  6. Step 6: Final answer
    x = 63,734.87

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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.