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Finding the Fourth Proportional to 101,524.86, 152,320.10 and 42,377.45

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Solution

The fourth proportional to 101,524.86, 152,320.10 and 42,377.45 is: 63,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,524.86 : 152,320.10 = 42,377.45 : x
  2. Step 2: Convert to fraction form
    101,524.86/152,320.10 = 42,377.45/x
  3. Step 3: Cross multiply
    101,524.86x = 152,320.10 × 42,377.45
  4. Step 4: Simplify right side
    101,524.86x = 6,454,936,448.26
  5. Step 5: Solve for x
    x = 6,454,936,448.26/101,524.86
  6. Step 6: Final answer
    x = 63,579.86

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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.