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Finding the Fourth Proportional to 155,145.60, 232,718.16 and 49,980

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Solution

The fourth proportional to 155,145.60, 232,718.16 and 49,980 is: 74,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,145.60 : 232,718.16 = 49,980 : x
  2. Step 2: Convert to fraction form
    155,145.60/232,718.16 = 49,980/x
  3. Step 3: Cross multiply
    155,145.60x = 232,718.16 × 49,980
  4. Step 4: Simplify right side
    155,145.60x = 11,631,253,636.80
  5. Step 5: Solve for x
    x = 11,631,253,636.80/155,145.60
  6. Step 6: Final answer
    x = 74,969.92

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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.