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Finding the Fourth Proportional to 47,430.80, 71,149.80 and 14,148.26

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Solution

The fourth proportional to 47,430.80, 71,149.80 and 14,148.26 is: 21,223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,430.80 : 71,149.80 = 14,148.26 : x
  2. Step 2: Convert to fraction form
    47,430.80/71,149.80 = 14,148.26/x
  3. Step 3: Cross multiply
    47,430.80x = 71,149.80 × 14,148.26
  4. Step 4: Simplify right side
    47,430.80x = 1,006,645,869.35
  5. Step 5: Solve for x
    x = 1,006,645,869.35/47,430.80
  6. Step 6: Final answer
    x = 21,223.46

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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.