Home / 51,431.51-77,077.20-31,448

Finding the Fourth Proportional to 51,431.51, 77,077.20 and 31,448

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Solution

The fourth proportional to 51,431.51, 77,077.20 and 31,448 is: 47,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,431.51 : 77,077.20 = 31,448 : x
  2. Step 2: Convert to fraction form
    51,431.51/77,077.20 = 31,448/x
  3. Step 3: Cross multiply
    51,431.51x = 77,077.20 × 31,448
  4. Step 4: Simplify right side
    51,431.51x = 2,423,923,785.60
  5. Step 5: Solve for x
    x = 2,423,923,785.60/51,431.51
  6. Step 6: Final answer
    x = 47,129.16

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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.