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Finding the Fourth Proportional to 78,785.70, 108,720.27 and 42,975.42

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Solution

The fourth proportional to 78,785.70, 108,720.27 and 42,975.42 is: 59,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,785.70 : 108,720.27 = 42,975.42 : x
  2. Step 2: Convert to fraction form
    78,785.70/108,720.27 = 42,975.42/x
  3. Step 3: Cross multiply
    78,785.70x = 108,720.27 × 42,975.42
  4. Step 4: Simplify right side
    78,785.70x = 4,672,299,265.76
  5. Step 5: Solve for x
    x = 4,672,299,265.76/78,785.70
  6. Step 6: Final answer
    x = 59,303.90

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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.