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Finding the Fourth Proportional to 155,012.80, 213,963.11 and 101,306.16

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Solution

The fourth proportional to 155,012.80, 213,963.11 and 101,306.16 is: 139,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,012.80 : 213,963.11 = 101,306.16 : x
  2. Step 2: Convert to fraction form
    155,012.80/213,963.11 = 101,306.16/x
  3. Step 3: Cross multiply
    155,012.80x = 213,963.11 × 101,306.16
  4. Step 4: Simplify right side
    155,012.80x = 21,675,781,055.76
  5. Step 5: Solve for x
    x = 21,675,781,055.76/155,012.80
  6. Step 6: Final answer
    x = 139,832.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.