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Finding the Fourth Proportional to 145,642.20, 218,488.20 and 66,763.20

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Solution

The fourth proportional to 145,642.20, 218,488.20 and 66,763.20 is: 100,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,642.20 : 218,488.20 = 66,763.20 : x
  2. Step 2: Convert to fraction form
    145,642.20/218,488.20 = 66,763.20/x
  3. Step 3: Cross multiply
    145,642.20x = 218,488.20 × 66,763.20
  4. Step 4: Simplify right side
    145,642.20x = 14,586,971,394.24
  5. Step 5: Solve for x
    x = 14,586,971,394.24/145,642.20
  6. Step 6: Final answer
    x = 100,156.21

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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.