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Finding the Fourth Proportional to 78,524.90, 108,365.80 and 42,715.20

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Solution

The fourth proportional to 78,524.90, 108,365.80 and 42,715.20 is: 58,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,524.90 : 108,365.80 = 42,715.20 : x
  2. Step 2: Convert to fraction form
    78,524.90/108,365.80 = 42,715.20/x
  3. Step 3: Cross multiply
    78,524.90x = 108,365.80 × 42,715.20
  4. Step 4: Simplify right side
    78,524.90x = 4,628,866,820.16
  5. Step 5: Solve for x
    x = 4,628,866,820.16/78,524.90
  6. Step 6: Final answer
    x = 58,947.76

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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.