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Finding the Fourth Proportional to 145,984, 218,990.04 and 67,120.24

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Solution

The fourth proportional to 145,984, 218,990.04 and 67,120.24 is: 100,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,984 : 218,990.04 = 67,120.24 : x
  2. Step 2: Convert to fraction form
    145,984/218,990.04 = 67,120.24/x
  3. Step 3: Cross multiply
    145,984x = 218,990.04 × 67,120.24
  4. Step 4: Simplify right side
    145,984x = 14,698,664,042.41
  5. Step 5: Solve for x
    x = 14,698,664,042.41/145,984
  6. Step 6: Final answer
    x = 100,686.82

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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.