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Finding the Fourth Proportional to 157,959.82, 218,130.87 and 101,470.42

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Solution

The fourth proportional to 157,959.82, 218,130.87 and 101,470.42 is: 140,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,959.82 : 218,130.87 = 101,470.42 : x
  2. Step 2: Convert to fraction form
    157,959.82/218,130.87 = 101,470.42/x
  3. Step 3: Cross multiply
    157,959.82x = 218,130.87 × 101,470.42
  4. Step 4: Simplify right side
    157,959.82x = 22,133,830,993.87
  5. Step 5: Solve for x
    x = 22,133,830,993.87/157,959.82
  6. Step 6: Final answer
    x = 140,123.17

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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.