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Finding the Fourth Proportional to 145,713.72, 218,417.43 and 66,763.02

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Solution

The fourth proportional to 145,713.72, 218,417.43 and 66,763.02 is: 100,074.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,713.72 : 218,417.43 = 66,763.02 : x
  2. Step 2: Convert to fraction form
    145,713.72/218,417.43 = 66,763.02/x
  3. Step 3: Cross multiply
    145,713.72x = 218,417.43 × 66,763.02
  4. Step 4: Simplify right side
    145,713.72x = 14,582,207,247.44
  5. Step 5: Solve for x
    x = 14,582,207,247.44/145,713.72
  6. Step 6: Final answer
    x = 100,074.36

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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.