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Finding the Fourth Proportional to 120,417.28, 180,363.84 and 73,528

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Solution

The fourth proportional to 120,417.28, 180,363.84 and 73,528 is: 110,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,417.28 : 180,363.84 = 73,528 : x
  2. Step 2: Convert to fraction form
    120,417.28/180,363.84 = 73,528/x
  3. Step 3: Cross multiply
    120,417.28x = 180,363.84 × 73,528
  4. Step 4: Simplify right side
    120,417.28x = 13,261,792,427.52
  5. Step 5: Solve for x
    x = 13,261,792,427.52/120,417.28
  6. Step 6: Final answer
    x = 110,131.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.