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Finding the Fourth Proportional to 87,670.80, 120,988.08 and 53,678.64

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Solution

The fourth proportional to 87,670.80, 120,988.08 and 53,678.64 is: 74,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,670.80 : 120,988.08 = 53,678.64 : x
  2. Step 2: Convert to fraction form
    87,670.80/120,988.08 = 53,678.64/x
  3. Step 3: Cross multiply
    87,670.80x = 120,988.08 × 53,678.64
  4. Step 4: Simplify right side
    87,670.80x = 6,494,475,590.61
  5. Step 5: Solve for x
    x = 6,494,475,590.61/87,670.80
  6. Step 6: Final answer
    x = 74,077.98

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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.