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Finding the Fourth Proportional to 100,703.52, 138,972.12 and 55,386.48

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Solution

The fourth proportional to 100,703.52, 138,972.12 and 55,386.48 is: 76,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,703.52 : 138,972.12 = 55,386.48 : x
  2. Step 2: Convert to fraction form
    100,703.52/138,972.12 = 55,386.48/x
  3. Step 3: Cross multiply
    100,703.52x = 138,972.12 × 55,386.48
  4. Step 4: Simplify right side
    100,703.52x = 7,697,176,544.94
  5. Step 5: Solve for x
    x = 7,697,176,544.94/100,703.52
  6. Step 6: Final answer
    x = 76,434.04

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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.