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Finding the Fourth Proportional to 78,159.74, 107,860.11 and 42,349.89

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Solution

The fourth proportional to 78,159.74, 107,860.11 and 42,349.89 is: 58,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,159.74 : 107,860.11 = 42,349.89 : x
  2. Step 2: Convert to fraction form
    78,159.74/107,860.11 = 42,349.89/x
  3. Step 3: Cross multiply
    78,159.74x = 107,860.11 × 42,349.89
  4. Step 4: Simplify right side
    78,159.74x = 4,567,863,432.84
  5. Step 5: Solve for x
    x = 4,567,863,432.84/78,159.74
  6. Step 6: Final answer
    x = 58,442.67

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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.