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Finding the Fourth Proportional to 72,147.88, 108,218.74 and 70,458.42

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Solution

The fourth proportional to 72,147.88, 108,218.74 and 70,458.42 is: 105,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,147.88 : 108,218.74 = 70,458.42 : x
  2. Step 2: Convert to fraction form
    72,147.88/108,218.74 = 70,458.42/x
  3. Step 3: Cross multiply
    72,147.88x = 108,218.74 × 70,458.42
  4. Step 4: Simplify right side
    72,147.88x = 7,624,920,541.41
  5. Step 5: Solve for x
    x = 7,624,920,541.41/72,147.88
  6. Step 6: Final answer
    x = 105,684.62

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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.