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Finding the Fourth Proportional to 106,987.84, 147,489.36 and 75,057.76

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Solution

The fourth proportional to 106,987.84, 147,489.36 and 75,057.76 is: 103,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,987.84 : 147,489.36 = 75,057.76 : x
  2. Step 2: Convert to fraction form
    106,987.84/147,489.36 = 75,057.76/x
  3. Step 3: Cross multiply
    106,987.84x = 147,489.36 × 75,057.76
  4. Step 4: Simplify right side
    106,987.84x = 11,070,220,985.43
  5. Step 5: Solve for x
    x = 11,070,220,985.43/106,987.84
  6. Step 6: Final answer
    x = 103,471.77

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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.