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Finding the Fourth Proportional to 145,982, 218,987.04 and 67,118.24

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Solution

The fourth proportional to 145,982, 218,987.04 and 67,118.24 is: 100,683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,982 : 218,987.04 = 67,118.24 : x
  2. Step 2: Convert to fraction form
    145,982/218,987.04 = 67,118.24/x
  3. Step 3: Cross multiply
    145,982x = 218,987.04 × 67,118.24
  4. Step 4: Simplify right side
    145,982x = 14,698,024,707.61
  5. Step 5: Solve for x
    x = 14,698,024,707.61/145,982
  6. Step 6: Final answer
    x = 100,683.82

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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.