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Finding the Fourth Proportional to 61,542.50, 91,830.70 and 57,780.86

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Solution

The fourth proportional to 61,542.50, 91,830.70 and 57,780.86 is: 86,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,542.50 : 91,830.70 = 57,780.86 : x
  2. Step 2: Convert to fraction form
    61,542.50/91,830.70 = 57,780.86/x
  3. Step 3: Cross multiply
    61,542.50x = 91,830.70 × 57,780.86
  4. Step 4: Simplify right side
    61,542.50x = 5,306,056,820.40
  5. Step 5: Solve for x
    x = 5,306,056,820.40/61,542.50
  6. Step 6: Final answer
    x = 86,217.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.