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Finding the Fourth Proportional to 140,047.69, 209,178.55 and 126,700.11

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Solution

The fourth proportional to 140,047.69, 209,178.55 and 126,700.11 is: 189,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,047.69 : 209,178.55 = 126,700.11 : x
  2. Step 2: Convert to fraction form
    140,047.69/209,178.55 = 126,700.11/x
  3. Step 3: Cross multiply
    140,047.69x = 209,178.55 × 126,700.11
  4. Step 4: Simplify right side
    140,047.69x = 26,502,943,615.25
  5. Step 5: Solve for x
    x = 26,502,943,615.25/140,047.69
  6. Step 6: Final answer
    x = 189,242.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.