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Finding the Fourth Proportional to 70,281.68, 96,989.64 and 47,932.88

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Solution

The fourth proportional to 70,281.68, 96,989.64 and 47,932.88 is: 66,148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,281.68 : 96,989.64 = 47,932.88 : x
  2. Step 2: Convert to fraction form
    70,281.68/96,989.64 = 47,932.88/x
  3. Step 3: Cross multiply
    70,281.68x = 96,989.64 × 47,932.88
  4. Step 4: Simplify right side
    70,281.68x = 4,648,992,775.36
  5. Step 5: Solve for x
    x = 4,648,992,775.36/70,281.68
  6. Step 6: Final answer
    x = 66,148.00

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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.