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Finding the Fourth Proportional to 78,315.10, 108,073.79 and 42,504.80

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Solution

The fourth proportional to 78,315.10, 108,073.79 and 42,504.80 is: 58,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,315.10 : 108,073.79 = 42,504.80 : x
  2. Step 2: Convert to fraction form
    78,315.10/108,073.79 = 42,504.80/x
  3. Step 3: Cross multiply
    78,315.10x = 108,073.79 × 42,504.80
  4. Step 4: Simplify right side
    78,315.10x = 4,593,655,082.70
  5. Step 5: Solve for x
    x = 4,593,655,082.70/78,315.10
  6. Step 6: Final answer
    x = 58,656.06

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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.