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Finding the Fourth Proportional to 76,702.80, 115,007.22 and 29,901

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Solution

The fourth proportional to 76,702.80, 115,007.22 and 29,901 is: 44,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702.80 : 115,007.22 = 29,901 : x
  2. Step 2: Convert to fraction form
    76,702.80/115,007.22 = 29,901/x
  3. Step 3: Cross multiply
    76,702.80x = 115,007.22 × 29,901
  4. Step 4: Simplify right side
    76,702.80x = 3,438,830,885.22
  5. Step 5: Solve for x
    x = 3,438,830,885.22/76,702.80
  6. Step 6: Final answer
    x = 44,833.19

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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.