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Finding the Fourth Proportional to 81,779.61, 112,862.52 and 47,335.98

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Solution

The fourth proportional to 81,779.61, 112,862.52 and 47,335.98 is: 65,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,779.61 : 112,862.52 = 47,335.98 : x
  2. Step 2: Convert to fraction form
    81,779.61/112,862.52 = 47,335.98/x
  3. Step 3: Cross multiply
    81,779.61x = 112,862.52 × 47,335.98
  4. Step 4: Simplify right side
    81,779.61x = 5,342,457,989.47
  5. Step 5: Solve for x
    x = 5,342,457,989.47/81,779.61
  6. Step 6: Final answer
    x = 65,327.51

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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.