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Finding the Fourth Proportional to 125,297.88, 187,947.45 and 31,803.66

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Solution

The fourth proportional to 125,297.88, 187,947.45 and 31,803.66 is: 47,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,297.88 : 187,947.45 = 31,803.66 : x
  2. Step 2: Convert to fraction form
    125,297.88/187,947.45 = 31,803.66/x
  3. Step 3: Cross multiply
    125,297.88x = 187,947.45 × 31,803.66
  4. Step 4: Simplify right side
    125,297.88x = 5,977,416,797.67
  5. Step 5: Solve for x
    x = 5,977,416,797.67/125,297.88
  6. Step 6: Final answer
    x = 47,705.65

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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.