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Finding the Fourth Proportional to 78,930.47, 108,926.19 and 47,117.84

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Solution

The fourth proportional to 78,930.47, 108,926.19 and 47,117.84 is: 65,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,930.47 : 108,926.19 = 47,117.84 : x
  2. Step 2: Convert to fraction form
    78,930.47/108,926.19 = 47,117.84/x
  3. Step 3: Cross multiply
    78,930.47x = 108,926.19 × 47,117.84
  4. Step 4: Simplify right side
    78,930.47x = 5,132,366,247.60
  5. Step 5: Solve for x
    x = 5,132,366,247.60/78,930.47
  6. Step 6: Final answer
    x = 65,023.89

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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.