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Finding the Fourth Proportional to 78,438.68, 117,561.63 and 36,261.71

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Solution

The fourth proportional to 78,438.68, 117,561.63 and 36,261.71 is: 54,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,438.68 : 117,561.63 = 36,261.71 : x
  2. Step 2: Convert to fraction form
    78,438.68/117,561.63 = 36,261.71/x
  3. Step 3: Cross multiply
    78,438.68x = 117,561.63 × 36,261.71
  4. Step 4: Simplify right side
    78,438.68x = 4,262,985,734.19
  5. Step 5: Solve for x
    x = 4,262,985,734.19/78,438.68
  6. Step 6: Final answer
    x = 54,348.00

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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.