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Finding the Fourth Proportional to 142,378.68, 213,565.14 and 42,539.16

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Solution

The fourth proportional to 142,378.68, 213,565.14 and 42,539.16 is: 63,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,378.68 : 213,565.14 = 42,539.16 : x
  2. Step 2: Convert to fraction form
    142,378.68/213,565.14 = 42,539.16/x
  3. Step 3: Cross multiply
    142,378.68x = 213,565.14 × 42,539.16
  4. Step 4: Simplify right side
    142,378.68x = 9,084,881,660.88
  5. Step 5: Solve for x
    x = 9,084,881,660.88/142,378.68
  6. Step 6: Final answer
    x = 63,807.88

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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.