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Finding the Fourth Proportional to 61,605.64, 85,038.78 and 47,966.68

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Solution

The fourth proportional to 61,605.64, 85,038.78 and 47,966.68 is: 66,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,605.64 : 85,038.78 = 47,966.68 : x
  2. Step 2: Convert to fraction form
    61,605.64/85,038.78 = 47,966.68/x
  3. Step 3: Cross multiply
    61,605.64x = 85,038.78 × 47,966.68
  4. Step 4: Simplify right side
    61,605.64x = 4,079,027,947.85
  5. Step 5: Solve for x
    x = 4,079,027,947.85/61,605.64
  6. Step 6: Final answer
    x = 66,211.92

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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.