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Finding the Fourth Proportional to 78,200.55, 107,917.31 and 42,391.13

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Solution

The fourth proportional to 78,200.55, 107,917.31 and 42,391.13 is: 58,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.55 : 107,917.31 = 42,391.13 : x
  2. Step 2: Convert to fraction form
    78,200.55/107,917.31 = 42,391.13/x
  3. Step 3: Cross multiply
    78,200.55x = 107,917.31 × 42,391.13
  4. Step 4: Simplify right side
    78,200.55x = 4,574,736,283.85
  5. Step 5: Solve for x
    x = 4,574,736,283.85/78,200.55
  6. Step 6: Final answer
    x = 58,500.05

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1.5x scale

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.