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Finding the Fourth Proportional to 145,985.40, 218,978.10 and 82,781.10

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Solution

The fourth proportional to 145,985.40, 218,978.10 and 82,781.10 is: 124,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,985.40 : 218,978.10 = 82,781.10 : x
  2. Step 2: Convert to fraction form
    145,985.40/218,978.10 = 82,781.10/x
  3. Step 3: Cross multiply
    145,985.40x = 218,978.10 × 82,781.10
  4. Step 4: Simplify right side
    145,985.40x = 18,127,247,993.91
  5. Step 5: Solve for x
    x = 18,127,247,993.91/145,985.40
  6. Step 6: Final answer
    x = 124,171.65

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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.