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Finding the Fourth Proportional to 103,453.47, 155,180.70 and 31,407

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Solution

The fourth proportional to 103,453.47, 155,180.70 and 31,407 is: 47,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,453.47 : 155,180.70 = 31,407 : x
  2. Step 2: Convert to fraction form
    103,453.47/155,180.70 = 31,407/x
  3. Step 3: Cross multiply
    103,453.47x = 155,180.70 × 31,407
  4. Step 4: Simplify right side
    103,453.47x = 4,873,760,244.90
  5. Step 5: Solve for x
    x = 4,873,760,244.90/103,453.47
  6. Step 6: Final answer
    x = 47,110.65

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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.