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Finding the Fourth Proportional to 71,648.62, 98,918.28 and 47,470.05

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Solution

The fourth proportional to 71,648.62, 98,918.28 and 47,470.05 is: 65,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648.62 : 98,918.28 = 47,470.05 : x
  2. Step 2: Convert to fraction form
    71,648.62/98,918.28 = 47,470.05/x
  3. Step 3: Cross multiply
    71,648.62x = 98,918.28 × 47,470.05
  4. Step 4: Simplify right side
    71,648.62x = 4,695,655,697.51
  5. Step 5: Solve for x
    x = 4,695,655,697.51/71,648.62
  6. Step 6: Final answer
    x = 65,537.28

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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.