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Finding the Fourth Proportional to 78,239.70, 107,970.57 and 42,429.60

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Solution

The fourth proportional to 78,239.70, 107,970.57 and 42,429.60 is: 58,552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,239.70 : 107,970.57 = 42,429.60 : x
  2. Step 2: Convert to fraction form
    78,239.70/107,970.57 = 42,429.60/x
  3. Step 3: Cross multiply
    78,239.70x = 107,970.57 × 42,429.60
  4. Step 4: Simplify right side
    78,239.70x = 4,581,148,096.87
  5. Step 5: Solve for x
    x = 4,581,148,096.87/78,239.70
  6. Step 6: Final answer
    x = 58,552.73

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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.