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Finding the Fourth Proportional to 55,034.78, 75,948.81 and 31,160.78

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Solution

The fourth proportional to 55,034.78, 75,948.81 and 31,160.78 is: 43,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,034.78 : 75,948.81 = 31,160.78 : x
  2. Step 2: Convert to fraction form
    55,034.78/75,948.81 = 31,160.78/x
  3. Step 3: Cross multiply
    55,034.78x = 75,948.81 × 31,160.78
  4. Step 4: Simplify right side
    55,034.78x = 2,366,624,159.67
  5. Step 5: Solve for x
    x = 2,366,624,159.67/55,034.78
  6. Step 6: Final answer
    x = 43,002.34

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1.5x scale

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.