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Finding the Fourth Proportional to 87,878, 121,270.99 and 47,590.83

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Solution

The fourth proportional to 87,878, 121,270.99 and 47,590.83 is: 65,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,878 : 121,270.99 = 47,590.83 : x
  2. Step 2: Convert to fraction form
    87,878/121,270.99 = 47,590.83/x
  3. Step 3: Cross multiply
    87,878x = 121,270.99 × 47,590.83
  4. Step 4: Simplify right side
    87,878x = 5,771,387,069.02
  5. Step 5: Solve for x
    x = 5,771,387,069.02/87,878
  6. Step 6: Final answer
    x = 65,674.99

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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.