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Finding the Fourth Proportional to 78,858.45, 118,398.38 and 75,287.70

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Solution

The fourth proportional to 78,858.45, 118,398.38 and 75,287.70 is: 113,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,858.45 : 118,398.38 = 75,287.70 : x
  2. Step 2: Convert to fraction form
    78,858.45/118,398.38 = 75,287.70/x
  3. Step 3: Cross multiply
    78,858.45x = 118,398.38 × 75,287.70
  4. Step 4: Simplify right side
    78,858.45x = 8,913,941,337.49
  5. Step 5: Solve for x
    x = 8,913,941,337.49/78,858.45
  6. Step 6: Final answer
    x = 113,037.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.