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Finding the Fourth Proportional to 78,478.21, 116,978.02 and 72,179.65

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Solution

The fourth proportional to 78,478.21, 116,978.02 and 72,179.65 is: 107,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,478.21 : 116,978.02 = 72,179.65 : x
  2. Step 2: Convert to fraction form
    78,478.21/116,978.02 = 72,179.65/x
  3. Step 3: Cross multiply
    78,478.21x = 116,978.02 × 72,179.65
  4. Step 4: Simplify right side
    78,478.21x = 8,443,432,541.29
  5. Step 5: Solve for x
    x = 8,443,432,541.29/78,478.21
  6. Step 6: Final answer
    x = 107,589.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.