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Finding the Fourth Proportional to 78,200.83, 107,917.07 and 42,390.53

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Solution

The fourth proportional to 78,200.83, 107,917.07 and 42,390.53 is: 58,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.83 : 107,917.07 = 42,390.53 : x
  2. Step 2: Convert to fraction form
    78,200.83/107,917.07 = 42,390.53/x
  3. Step 3: Cross multiply
    78,200.83x = 107,917.07 × 42,390.53
  4. Step 4: Simplify right side
    78,200.83x = 4,574,661,793.35
  5. Step 5: Solve for x
    x = 4,574,661,793.35/78,200.83
  6. Step 6: Final answer
    x = 58,498.89

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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.