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Finding the Fourth Proportional to 78,367.10, 117,550.65 and 77,200.70

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Solution

The fourth proportional to 78,367.10, 117,550.65 and 77,200.70 is: 115,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,367.10 : 117,550.65 = 77,200.70 : x
  2. Step 2: Convert to fraction form
    78,367.10/117,550.65 = 77,200.70/x
  3. Step 3: Cross multiply
    78,367.10x = 117,550.65 × 77,200.70
  4. Step 4: Simplify right side
    78,367.10x = 9,074,992,465.46
  5. Step 5: Solve for x
    x = 9,074,992,465.46/78,367.10
  6. Step 6: Final answer
    x = 115,801.05

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1.5x scale

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.