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Finding the Fourth Proportional to 145,399.74, 218,109.98 and 38,783.10

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Solution

The fourth proportional to 145,399.74, 218,109.98 and 38,783.10 is: 58,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,399.74 : 218,109.98 = 38,783.10 : x
  2. Step 2: Convert to fraction form
    145,399.74/218,109.98 = 38,783.10/x
  3. Step 3: Cross multiply
    145,399.74x = 218,109.98 × 38,783.10
  4. Step 4: Simplify right side
    145,399.74x = 8,458,981,165.34
  5. Step 5: Solve for x
    x = 8,458,981,165.34/145,399.74
  6. Step 6: Final answer
    x = 58,177.42

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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.