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Finding the Fourth Proportional to 61,671.92, 92,430 and 51,407.60

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Solution

The fourth proportional to 61,671.92, 92,430 and 51,407.60 is: 77,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,671.92 : 92,430 = 51,407.60 : x
  2. Step 2: Convert to fraction form
    61,671.92/92,430 = 51,407.60/x
  3. Step 3: Cross multiply
    61,671.92x = 92,430 × 51,407.60
  4. Step 4: Simplify right side
    61,671.92x = 4,751,604,468
  5. Step 5: Solve for x
    x = 4,751,604,468/61,671.92
  6. Step 6: Final answer
    x = 77,046.48

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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.