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Finding the Fourth Proportional to 70,475.20, 105,712.80 and 69,438.40

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Solution

The fourth proportional to 70,475.20, 105,712.80 and 69,438.40 is: 104,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,475.20 : 105,712.80 = 69,438.40 : x
  2. Step 2: Convert to fraction form
    70,475.20/105,712.80 = 69,438.40/x
  3. Step 3: Cross multiply
    70,475.20x = 105,712.80 × 69,438.40
  4. Step 4: Simplify right side
    70,475.20x = 7,340,527,691.52
  5. Step 5: Solve for x
    x = 7,340,527,691.52/70,475.20
  6. Step 6: Final answer
    x = 104,157.60

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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.