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Finding the Fourth Proportional to 65,287.78, 97,919.88 and 29,740.84

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Solution

The fourth proportional to 65,287.78, 97,919.88 and 29,740.84 is: 44,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,287.78 : 97,919.88 = 29,740.84 : x
  2. Step 2: Convert to fraction form
    65,287.78/97,919.88 = 29,740.84/x
  3. Step 3: Cross multiply
    65,287.78x = 97,919.88 × 29,740.84
  4. Step 4: Simplify right side
    65,287.78x = 2,912,219,483.90
  5. Step 5: Solve for x
    x = 2,912,219,483.90/65,287.78
  6. Step 6: Final answer
    x = 44,605.89

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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.