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Finding the Fourth Proportional to 123,547.20, 185,320.80 and 81,483.90

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Solution

The fourth proportional to 123,547.20, 185,320.80 and 81,483.90 is: 122,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,547.20 : 185,320.80 = 81,483.90 : x
  2. Step 2: Convert to fraction form
    123,547.20/185,320.80 = 81,483.90/x
  3. Step 3: Cross multiply
    123,547.20x = 185,320.80 × 81,483.90
  4. Step 4: Simplify right side
    123,547.20x = 15,100,661,535.12
  5. Step 5: Solve for x
    x = 15,100,661,535.12/123,547.20
  6. Step 6: Final answer
    x = 122,225.85

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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.