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Finding the Fourth Proportional to 71,478.32, 107,041.80 and 58,921.52

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Solution

The fourth proportional to 71,478.32, 107,041.80 and 58,921.52 is: 88,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,478.32 : 107,041.80 = 58,921.52 : x
  2. Step 2: Convert to fraction form
    71,478.32/107,041.80 = 58,921.52/x
  3. Step 3: Cross multiply
    71,478.32x = 107,041.80 × 58,921.52
  4. Step 4: Simplify right side
    71,478.32x = 6,307,065,559.54
  5. Step 5: Solve for x
    x = 6,307,065,559.54/71,478.32
  6. Step 6: Final answer
    x = 88,237.46

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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.