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Finding the Fourth Proportional to 78,359, 117,538.26 and 28,439.04

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Solution

The fourth proportional to 78,359, 117,538.26 and 28,439.04 is: 42,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,359 : 117,538.26 = 28,439.04 : x
  2. Step 2: Convert to fraction form
    78,359/117,538.26 = 28,439.04/x
  3. Step 3: Cross multiply
    78,359x = 117,538.26 × 28,439.04
  4. Step 4: Simplify right side
    78,359x = 3,342,675,277.67
  5. Step 5: Solve for x
    x = 3,342,675,277.67/78,359
  6. Step 6: Final answer
    x = 42,658.47

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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.