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Finding the Fourth Proportional to 51,432.51, 77,078.70 and 31,449

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Solution

The fourth proportional to 51,432.51, 77,078.70 and 31,449 is: 47,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,432.51 : 77,078.70 = 31,449 : x
  2. Step 2: Convert to fraction form
    51,432.51/77,078.70 = 31,449/x
  3. Step 3: Cross multiply
    51,432.51x = 77,078.70 × 31,449
  4. Step 4: Simplify right side
    51,432.51x = 2,424,048,036.30
  5. Step 5: Solve for x
    x = 2,424,048,036.30/51,432.51
  6. Step 6: Final answer
    x = 47,130.66

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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.