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Finding the Fourth Proportional to 69,492, 95,978.16 and 47,097.12

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Solution

The fourth proportional to 69,492, 95,978.16 and 47,097.12 is: 65,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,492 : 95,978.16 = 47,097.12 : x
  2. Step 2: Convert to fraction form
    69,492/95,978.16 = 47,097.12/x
  3. Step 3: Cross multiply
    69,492x = 95,978.16 × 47,097.12
  4. Step 4: Simplify right side
    69,492x = 4,520,294,918.90
  5. Step 5: Solve for x
    x = 4,520,294,918.90/69,492
  6. Step 6: Final answer
    x = 65,047.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.