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Finding the Fourth Proportional to 139,470.16, 209,205.24 and 56,422.48

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Solution

The fourth proportional to 139,470.16, 209,205.24 and 56,422.48 is: 84,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,470.16 : 209,205.24 = 56,422.48 : x
  2. Step 2: Convert to fraction form
    139,470.16/209,205.24 = 56,422.48/x
  3. Step 3: Cross multiply
    139,470.16x = 209,205.24 × 56,422.48
  4. Step 4: Simplify right side
    139,470.16x = 11,803,878,469.80
  5. Step 5: Solve for x
    x = 11,803,878,469.80/139,470.16
  6. Step 6: Final answer
    x = 84,633.72

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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.