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Finding the Fourth Proportional to 70,287.90, 96,961.10 and 47,619.19

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Solution

The fourth proportional to 70,287.90, 96,961.10 and 47,619.19 is: 65,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,287.90 : 96,961.10 = 47,619.19 : x
  2. Step 2: Convert to fraction form
    70,287.90/96,961.10 = 47,619.19/x
  3. Step 3: Cross multiply
    70,287.90x = 96,961.10 × 47,619.19
  4. Step 4: Simplify right side
    70,287.90x = 4,617,209,194.47
  5. Step 5: Solve for x
    x = 4,617,209,194.47/70,287.90
  6. Step 6: Final answer
    x = 65,689.96

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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.