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Finding the Fourth Proportional to 153,711, 212,121.18 and 83,055

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Solution

The fourth proportional to 153,711, 212,121.18 and 83,055 is: 114,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,711 : 212,121.18 = 83,055 : x
  2. Step 2: Convert to fraction form
    153,711/212,121.18 = 83,055/x
  3. Step 3: Cross multiply
    153,711x = 212,121.18 × 83,055
  4. Step 4: Simplify right side
    153,711x = 17,617,724,604.90
  5. Step 5: Solve for x
    x = 17,617,724,604.90/153,711
  6. Step 6: Final answer
    x = 114,615.90

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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.