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Finding the Fourth Proportional to 122,491.83, 169,053.68 and 77,169.05

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Solution

The fourth proportional to 122,491.83, 169,053.68 and 77,169.05 is: 106,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,491.83 : 169,053.68 = 77,169.05 : x
  2. Step 2: Convert to fraction form
    122,491.83/169,053.68 = 77,169.05/x
  3. Step 3: Cross multiply
    122,491.83x = 169,053.68 × 77,169.05
  4. Step 4: Simplify right side
    122,491.83x = 13,045,712,817.14
  5. Step 5: Solve for x
    x = 13,045,712,817.14/122,491.83
  6. Step 6: Final answer
    x = 106,502.72

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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.