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Finding the Fourth Proportional to 76,515.99, 105,590.70 and 42,523.88

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Solution

The fourth proportional to 76,515.99, 105,590.70 and 42,523.88 is: 58,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,515.99 : 105,590.70 = 42,523.88 : x
  2. Step 2: Convert to fraction form
    76,515.99/105,590.70 = 42,523.88/x
  3. Step 3: Cross multiply
    76,515.99x = 105,590.70 × 42,523.88
  4. Step 4: Simplify right side
    76,515.99x = 4,490,125,727.96
  5. Step 5: Solve for x
    x = 4,490,125,727.96/76,515.99
  6. Step 6: Final answer
    x = 58,682.19

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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.