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Finding the Fourth Proportional to 155,963.40, 233,945.10 and 77,061.30

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Solution

The fourth proportional to 155,963.40, 233,945.10 and 77,061.30 is: 115,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,963.40 : 233,945.10 = 77,061.30 : x
  2. Step 2: Convert to fraction form
    155,963.40/233,945.10 = 77,061.30/x
  3. Step 3: Cross multiply
    155,963.40x = 233,945.10 × 77,061.30
  4. Step 4: Simplify right side
    155,963.40x = 18,028,113,534.63
  5. Step 5: Solve for x
    x = 18,028,113,534.63/155,963.40
  6. Step 6: Final answer
    x = 115,591.95

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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.