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Finding the Fourth Proportional to 157,133.45, 216,849.08 and 89,153.30

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Solution

The fourth proportional to 157,133.45, 216,849.08 and 89,153.30 is: 123,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,133.45 : 216,849.08 = 89,153.30 : x
  2. Step 2: Convert to fraction form
    157,133.45/216,849.08 = 89,153.30/x
  3. Step 3: Cross multiply
    157,133.45x = 216,849.08 × 89,153.30
  4. Step 4: Simplify right side
    157,133.45x = 19,332,809,553.95
  5. Step 5: Solve for x
    x = 19,332,809,553.95/157,133.45
  6. Step 6: Final answer
    x = 123,034.34

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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.