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Finding the Fourth Proportional to 123,547.70, 185,321.55 and 81,484.40

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Solution

The fourth proportional to 123,547.70, 185,321.55 and 81,484.40 is: 122,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,547.70 : 185,321.55 = 81,484.40 : x
  2. Step 2: Convert to fraction form
    123,547.70/185,321.55 = 81,484.40/x
  3. Step 3: Cross multiply
    123,547.70x = 185,321.55 × 81,484.40
  4. Step 4: Simplify right side
    123,547.70x = 15,100,815,308.82
  5. Step 5: Solve for x
    x = 15,100,815,308.82/123,547.70
  6. Step 6: Final answer
    x = 122,226.60

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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.