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Finding the Fourth Proportional to 78,536.98, 117,828.69 and 45,280.90

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Solution

The fourth proportional to 78,536.98, 117,828.69 and 45,280.90 is: 67,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,536.98 : 117,828.69 = 45,280.90 : x
  2. Step 2: Convert to fraction form
    78,536.98/117,828.69 = 45,280.90/x
  3. Step 3: Cross multiply
    78,536.98x = 117,828.69 × 45,280.90
  4. Step 4: Simplify right side
    78,536.98x = 5,335,389,129.02
  5. Step 5: Solve for x
    x = 5,335,389,129.02/78,536.98
  6. Step 6: Final answer
    x = 67,934.74

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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.