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Finding the Fourth Proportional to 101,854.32, 140,575.86 and 59,412.90

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Solution

The fourth proportional to 101,854.32, 140,575.86 and 59,412.90 is: 81,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,854.32 : 140,575.86 = 59,412.90 : x
  2. Step 2: Convert to fraction form
    101,854.32/140,575.86 = 59,412.90/x
  3. Step 3: Cross multiply
    101,854.32x = 140,575.86 × 59,412.90
  4. Step 4: Simplify right side
    101,854.32x = 8,352,019,512.59
  5. Step 5: Solve for x
    x = 8,352,019,512.59/101,854.32
  6. Step 6: Final answer
    x = 81,999.66

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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.