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Finding the Fourth Proportional to 101,909.46, 152,923.72 and 42,740.16

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Solution

The fourth proportional to 101,909.46, 152,923.72 and 42,740.16 is: 64,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,909.46 : 152,923.72 = 42,740.16 : x
  2. Step 2: Convert to fraction form
    101,909.46/152,923.72 = 42,740.16/x
  3. Step 3: Cross multiply
    101,909.46x = 152,923.72 × 42,740.16
  4. Step 4: Simplify right side
    101,909.46x = 6,535,984,260.60
  5. Step 5: Solve for x
    x = 6,535,984,260.60/101,909.46
  6. Step 6: Final answer
    x = 64,135.21

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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.