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Finding the Fourth Proportional to 78,649.79, 117,869.07 and 38,607.64

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Solution

The fourth proportional to 78,649.79, 117,869.07 and 38,607.64 is: 57,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649.79 : 117,869.07 = 38,607.64 : x
  2. Step 2: Convert to fraction form
    78,649.79/117,869.07 = 38,607.64/x
  3. Step 3: Cross multiply
    78,649.79x = 117,869.07 × 38,607.64
  4. Step 4: Simplify right side
    78,649.79x = 4,550,646,471.80
  5. Step 5: Solve for x
    x = 4,550,646,471.80/78,649.79
  6. Step 6: Final answer
    x = 57,859.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.