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Finding the Fourth Proportional to 139,957.40, 209,984.70 and 61,128.20

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Solution

The fourth proportional to 139,957.40, 209,984.70 and 61,128.20 is: 91,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,957.40 : 209,984.70 = 61,128.20 : x
  2. Step 2: Convert to fraction form
    139,957.40/209,984.70 = 61,128.20/x
  3. Step 3: Cross multiply
    139,957.40x = 209,984.70 × 61,128.20
  4. Step 4: Simplify right side
    139,957.40x = 12,835,986,738.54
  5. Step 5: Solve for x
    x = 12,835,986,738.54/139,957.40
  6. Step 6: Final answer
    x = 91,713.53

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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.