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Finding the Fourth Proportional to 142,470.54, 213,599.61 and 47,644.65

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Solution

The fourth proportional to 142,470.54, 213,599.61 and 47,644.65 is: 71,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,470.54 : 213,599.61 = 47,644.65 : x
  2. Step 2: Convert to fraction form
    142,470.54/213,599.61 = 47,644.65/x
  3. Step 3: Cross multiply
    142,470.54x = 213,599.61 × 47,644.65
  4. Step 4: Simplify right side
    142,470.54x = 10,176,878,658.59
  5. Step 5: Solve for x
    x = 10,176,878,658.59/142,470.54
  6. Step 6: Final answer
    x = 71,431.46

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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.