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Finding the Fourth Proportional to 47,781.90, 71,681.91 and 15,762.90

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Solution

The fourth proportional to 47,781.90, 71,681.91 and 15,762.90 is: 23,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,781.90 : 71,681.91 = 15,762.90 : x
  2. Step 2: Convert to fraction form
    47,781.90/71,681.91 = 15,762.90/x
  3. Step 3: Cross multiply
    47,781.90x = 71,681.91 × 15,762.90
  4. Step 4: Simplify right side
    47,781.90x = 1,129,915,077.50
  5. Step 5: Solve for x
    x = 1,129,915,077.50/47,781.90
  6. Step 6: Final answer
    x = 23,647.35

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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.