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Finding the Fourth Proportional to 123,165.26, 169,969.95 and 72,165.80

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Solution

The fourth proportional to 123,165.26, 169,969.95 and 72,165.80 is: 99,589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,165.26 : 169,969.95 = 72,165.80 : x
  2. Step 2: Convert to fraction form
    123,165.26/169,969.95 = 72,165.80/x
  3. Step 3: Cross multiply
    123,165.26x = 169,969.95 × 72,165.80
  4. Step 4: Simplify right side
    123,165.26x = 12,266,017,417.71
  5. Step 5: Solve for x
    x = 12,266,017,417.71/123,165.26
  6. Step 6: Final answer
    x = 99,589.91

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1.5x scale

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.