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Finding the Fourth Proportional to 103,860.88, 155,729.05 and 47,630.57

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Solution

The fourth proportional to 103,860.88, 155,729.05 and 47,630.57 is: 71,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,860.88 : 155,729.05 = 47,630.57 : x
  2. Step 2: Convert to fraction form
    103,860.88/155,729.05 = 47,630.57/x
  3. Step 3: Cross multiply
    103,860.88x = 155,729.05 × 47,630.57
  4. Step 4: Simplify right side
    103,860.88x = 7,417,462,697.95
  5. Step 5: Solve for x
    x = 7,417,462,697.95/103,860.88
  6. Step 6: Final answer
    x = 71,417.29

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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.