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Finding the Fourth Proportional to 102,476, 153,736.71 and 31,408.46

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Solution

The fourth proportional to 102,476, 153,736.71 and 31,408.46 is: 47,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,476 : 153,736.71 = 31,408.46 : x
  2. Step 2: Convert to fraction form
    102,476/153,736.71 = 31,408.46/x
  3. Step 3: Cross multiply
    102,476x = 153,736.71 × 31,408.46
  4. Step 4: Simplify right side
    102,476x = 4,828,633,306.57
  5. Step 5: Solve for x
    x = 4,828,633,306.57/102,476
  6. Step 6: Final answer
    x = 47,119.65

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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.