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Finding the Fourth Proportional to 101,590.38, 152,399.86 and 42,412.59

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Solution

The fourth proportional to 101,590.38, 152,399.86 and 42,412.59 is: 63,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,590.38 : 152,399.86 = 42,412.59 : x
  2. Step 2: Convert to fraction form
    101,590.38/152,399.86 = 42,412.59/x
  3. Step 3: Cross multiply
    101,590.38x = 152,399.86 × 42,412.59
  4. Step 4: Simplify right side
    101,590.38x = 6,463,672,672.21
  5. Step 5: Solve for x
    x = 6,463,672,672.21/101,590.38
  6. Step 6: Final answer
    x = 63,624.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.