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Finding the Fourth Proportional to 78,335.70, 108,102.67 and 42,524.99

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Solution

The fourth proportional to 78,335.70, 108,102.67 and 42,524.99 is: 58,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,335.70 : 108,102.67 = 42,524.99 : x
  2. Step 2: Convert to fraction form
    78,335.70/108,102.67 = 42,524.99/x
  3. Step 3: Cross multiply
    78,335.70x = 108,102.67 × 42,524.99
  4. Step 4: Simplify right side
    78,335.70x = 4,597,064,719.28
  5. Step 5: Solve for x
    x = 4,597,064,719.28/78,335.70
  6. Step 6: Final answer
    x = 58,684.16

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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.