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Finding the Fourth Proportional to 47,980.65, 71,970.98 and 31,359.45

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Solution

The fourth proportional to 47,980.65, 71,970.98 and 31,359.45 is: 47,039.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980.65 : 71,970.98 = 31,359.45 : x
  2. Step 2: Convert to fraction form
    47,980.65/71,970.98 = 31,359.45/x
  3. Step 3: Cross multiply
    47,980.65x = 71,970.98 × 31,359.45
  4. Step 4: Simplify right side
    47,980.65x = 2,256,970,191.96
  5. Step 5: Solve for x
    x = 2,256,970,191.96/47,980.65
  6. Step 6: Final answer
    x = 47,039.18

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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.