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Finding the Fourth Proportional to 122,497.50, 169,064.88 and 74,778.50

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Solution

The fourth proportional to 122,497.50, 169,064.88 and 74,778.50 is: 103,205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,497.50 : 169,064.88 = 74,778.50 : x
  2. Step 2: Convert to fraction form
    122,497.50/169,064.88 = 74,778.50/x
  3. Step 3: Cross multiply
    122,497.50x = 169,064.88 × 74,778.50
  4. Step 4: Simplify right side
    122,497.50x = 12,642,418,129.08
  5. Step 5: Solve for x
    x = 12,642,418,129.08/122,497.50
  6. Step 6: Final answer
    x = 103,205.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.