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Finding the Fourth Proportional to 51,750.42, 77,428.80 and 31,979.94

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Solution

The fourth proportional to 51,750.42, 77,428.80 and 31,979.94 is: 47,848.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,750.42 : 77,428.80 = 31,979.94 : x
  2. Step 2: Convert to fraction form
    51,750.42/77,428.80 = 31,979.94/x
  3. Step 3: Cross multiply
    51,750.42x = 77,428.80 × 31,979.94
  4. Step 4: Simplify right side
    51,750.42x = 2,476,168,378.27
  5. Step 5: Solve for x
    x = 2,476,168,378.27/51,750.42
  6. Step 6: Final answer
    x = 47,848.28

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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.