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Finding the Fourth Proportional to 84,605.80, 126,908.70 and 77,348.20

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Solution

The fourth proportional to 84,605.80, 126,908.70 and 77,348.20 is: 116,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,605.80 : 126,908.70 = 77,348.20 : x
  2. Step 2: Convert to fraction form
    84,605.80/126,908.70 = 77,348.20/x
  3. Step 3: Cross multiply
    84,605.80x = 126,908.70 × 77,348.20
  4. Step 4: Simplify right side
    84,605.80x = 9,816,159,509.34
  5. Step 5: Solve for x
    x = 9,816,159,509.34/84,605.80
  6. Step 6: Final answer
    x = 116,022.30

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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.