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Finding the Fourth Proportional to 101,755.28, 140,430.91 and 56,447.86

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Solution

The fourth proportional to 101,755.28, 140,430.91 and 56,447.86 is: 77,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,755.28 : 140,430.91 = 56,447.86 : x
  2. Step 2: Convert to fraction form
    101,755.28/140,430.91 = 56,447.86/x
  3. Step 3: Cross multiply
    101,755.28x = 140,430.91 × 56,447.86
  4. Step 4: Simplify right side
    101,755.28x = 7,927,023,855.16
  5. Step 5: Solve for x
    x = 7,927,023,855.16/101,755.28
  6. Step 6: Final answer
    x = 77,902.83

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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.