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Finding the Fourth Proportional to 145,637.48, 218,487.41 and 82,487.45

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Solution

The fourth proportional to 145,637.48, 218,487.41 and 82,487.45 is: 123,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,637.48 : 218,487.41 = 82,487.45 : x
  2. Step 2: Convert to fraction form
    145,637.48/218,487.41 = 82,487.45/x
  3. Step 3: Cross multiply
    145,637.48x = 218,487.41 × 82,487.45
  4. Step 4: Simplify right side
    145,637.48x = 18,022,467,803.13
  5. Step 5: Solve for x
    x = 18,022,467,803.13/145,637.48
  6. Step 6: Final answer
    x = 123,748.83

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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.