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Finding the Fourth Proportional to 78,045.73, 117,048.11 and 28,116.52

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Solution

The fourth proportional to 78,045.73, 117,048.11 and 28,116.52 is: 42,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,045.73 : 117,048.11 = 28,116.52 : x
  2. Step 2: Convert to fraction form
    78,045.73/117,048.11 = 28,116.52/x
  3. Step 3: Cross multiply
    78,045.73x = 117,048.11 × 28,116.52
  4. Step 4: Simplify right side
    78,045.73x = 3,290,985,092.57
  5. Step 5: Solve for x
    x = 3,290,985,092.57/78,045.73
  6. Step 6: Final answer
    x = 42,167.40

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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.