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Finding the Fourth Proportional to 72,839.43, 109,203.12 and 65,421.18

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Solution

The fourth proportional to 72,839.43, 109,203.12 and 65,421.18 is: 98,081.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,839.43 : 109,203.12 = 65,421.18 : x
  2. Step 2: Convert to fraction form
    72,839.43/109,203.12 = 65,421.18/x
  3. Step 3: Cross multiply
    72,839.43x = 109,203.12 × 65,421.18
  4. Step 4: Simplify right side
    72,839.43x = 7,144,196,970.08
  5. Step 5: Solve for x
    x = 7,144,196,970.08/72,839.43
  6. Step 6: Final answer
    x = 98,081.45

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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.