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Finding the Fourth Proportional to 47,689.32, 71,368.74 and 28,959.96

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Solution

The fourth proportional to 47,689.32, 71,368.74 and 28,959.96 is: 43,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,689.32 : 71,368.74 = 28,959.96 : x
  2. Step 2: Convert to fraction form
    47,689.32/71,368.74 = 28,959.96/x
  3. Step 3: Cross multiply
    47,689.32x = 71,368.74 × 28,959.96
  4. Step 4: Simplify right side
    47,689.32x = 2,066,835,855.65
  5. Step 5: Solve for x
    x = 2,066,835,855.65/47,689.32
  6. Step 6: Final answer
    x = 43,339.60

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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.