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Finding the Fourth Proportional to 78,802.60, 108,747.46 and 42,992.59

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Solution

The fourth proportional to 78,802.60, 108,747.46 and 42,992.59 is: 59,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,802.60 : 108,747.46 = 42,992.59 : x
  2. Step 2: Convert to fraction form
    78,802.60/108,747.46 = 42,992.59/x
  3. Step 3: Cross multiply
    78,802.60x = 108,747.46 × 42,992.59
  4. Step 4: Simplify right side
    78,802.60x = 4,675,335,125.71
  5. Step 5: Solve for x
    x = 4,675,335,125.71/78,802.60
  6. Step 6: Final answer
    x = 59,329.71

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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.