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Finding the Fourth Proportional to 122,651.16, 169,274.25 and 74,894.46

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Solution

The fourth proportional to 122,651.16, 169,274.25 and 74,894.46 is: 103,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,651.16 : 169,274.25 = 74,894.46 : x
  2. Step 2: Convert to fraction form
    122,651.16/169,274.25 = 74,894.46/x
  3. Step 3: Cross multiply
    122,651.16x = 169,274.25 × 74,894.46
  4. Step 4: Simplify right side
    122,651.16x = 12,677,703,545.66
  5. Step 5: Solve for x
    x = 12,677,703,545.66/122,651.16
  6. Step 6: Final answer
    x = 103,363.91

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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.