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Finding the Fourth Proportional to 77,575.50, 107,054.19 and 42,247.50

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Solution

The fourth proportional to 77,575.50, 107,054.19 and 42,247.50 is: 58,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,575.50 : 107,054.19 = 42,247.50 : x
  2. Step 2: Convert to fraction form
    77,575.50/107,054.19 = 42,247.50/x
  3. Step 3: Cross multiply
    77,575.50x = 107,054.19 × 42,247.50
  4. Step 4: Simplify right side
    77,575.50x = 4,522,771,892.03
  5. Step 5: Solve for x
    x = 4,522,771,892.03/77,575.50
  6. Step 6: Final answer
    x = 58,301.55

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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.