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Finding the Fourth Proportional to 142,352, 213,565.16 and 42,512.21

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Solution

The fourth proportional to 142,352, 213,565.16 and 42,512.21 is: 63,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,352 : 213,565.16 = 42,512.21 : x
  2. Step 2: Convert to fraction form
    142,352/213,565.16 = 42,512.21/x
  3. Step 3: Cross multiply
    142,352x = 213,565.16 × 42,512.21
  4. Step 4: Simplify right side
    142,352x = 9,079,126,930.60
  5. Step 5: Solve for x
    x = 9,079,126,930.60/142,352
  6. Step 6: Final answer
    x = 63,779.41

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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.