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Finding the Fourth Proportional to 107,213.88, 147,933.82 and 64,774.76

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Solution

The fourth proportional to 107,213.88, 147,933.82 and 64,774.76 is: 89,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,213.88 : 147,933.82 = 64,774.76 : x
  2. Step 2: Convert to fraction form
    107,213.88/147,933.82 = 64,774.76/x
  3. Step 3: Cross multiply
    107,213.88x = 147,933.82 × 64,774.76
  4. Step 4: Simplify right side
    107,213.88x = 9,582,377,686.38
  5. Step 5: Solve for x
    x = 9,582,377,686.38/107,213.88
  6. Step 6: Final answer
    x = 89,376.28

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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.