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Finding the Fourth Proportional to 71,767.40, 107,191.78 and 65,002.88

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Solution

The fourth proportional to 71,767.40, 107,191.78 and 65,002.88 is: 97,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,767.40 : 107,191.78 = 65,002.88 : x
  2. Step 2: Convert to fraction form
    71,767.40/107,191.78 = 65,002.88/x
  3. Step 3: Cross multiply
    71,767.40x = 107,191.78 × 65,002.88
  4. Step 4: Simplify right side
    71,767.40x = 6,967,774,412.33
  5. Step 5: Solve for x
    x = 6,967,774,412.33/71,767.40
  6. Step 6: Final answer
    x = 97,088.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.