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Finding the Fourth Proportional to 105,329.64, 157,978.84 and 38,754.20

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Solution

The fourth proportional to 105,329.64, 157,978.84 and 38,754.20 is: 58,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,329.64 : 157,978.84 = 38,754.20 : x
  2. Step 2: Convert to fraction form
    105,329.64/157,978.84 = 38,754.20/x
  3. Step 3: Cross multiply
    105,329.64x = 157,978.84 × 38,754.20
  4. Step 4: Simplify right side
    105,329.64x = 6,122,343,561.13
  5. Step 5: Solve for x
    x = 6,122,343,561.13/105,329.64
  6. Step 6: Final answer
    x = 58,125.55

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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.