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Finding the Fourth Proportional to 103,547.52, 155,367.36 and 54,288

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Solution

The fourth proportional to 103,547.52, 155,367.36 and 54,288 is: 81,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,547.52 : 155,367.36 = 54,288 : x
  2. Step 2: Convert to fraction form
    103,547.52/155,367.36 = 54,288/x
  3. Step 3: Cross multiply
    103,547.52x = 155,367.36 × 54,288
  4. Step 4: Simplify right side
    103,547.52x = 8,434,583,239.68
  5. Step 5: Solve for x
    x = 8,434,583,239.68/103,547.52
  6. Step 6: Final answer
    x = 81,456.16

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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.