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Finding the Fourth Proportional to 122,500.50, 169,063.65 and 77,788.50

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Solution

The fourth proportional to 122,500.50, 169,063.65 and 77,788.50 is: 107,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,500.50 : 169,063.65 = 77,788.50 : x
  2. Step 2: Convert to fraction form
    122,500.50/169,063.65 = 77,788.50/x
  3. Step 3: Cross multiply
    122,500.50x = 169,063.65 × 77,788.50
  4. Step 4: Simplify right side
    122,500.50x = 13,151,207,738.03
  5. Step 5: Solve for x
    x = 13,151,207,738.03/122,500.50
  6. Step 6: Final answer
    x = 107,356.36

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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.