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Finding the Fourth Proportional to 77,790, 116,702.28 and 28,542

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Solution

The fourth proportional to 77,790, 116,702.28 and 28,542 is: 42,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,790 : 116,702.28 = 28,542 : x
  2. Step 2: Convert to fraction form
    77,790/116,702.28 = 28,542/x
  3. Step 3: Cross multiply
    77,790x = 116,702.28 × 28,542
  4. Step 4: Simplify right side
    77,790x = 3,330,916,475.76
  5. Step 5: Solve for x
    x = 3,330,916,475.76/77,790
  6. Step 6: Final answer
    x = 42,819.34

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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.