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Finding the Fourth Proportional to 78,116.70, 107,801.08 and 42,306.86

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Solution

The fourth proportional to 78,116.70, 107,801.08 and 42,306.86 is: 58,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,116.70 : 107,801.08 = 42,306.86 : x
  2. Step 2: Convert to fraction form
    78,116.70/107,801.08 = 42,306.86/x
  3. Step 3: Cross multiply
    78,116.70x = 107,801.08 × 42,306.86
  4. Step 4: Simplify right side
    78,116.70x = 4,560,725,199.41
  5. Step 5: Solve for x
    x = 4,560,725,199.41/78,116.70
  6. Step 6: Final answer
    x = 58,383.49

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1.5x scale

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.