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Finding the Fourth Proportional to 125,883.53, 188,823.43 and 31,113.72

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Solution

The fourth proportional to 125,883.53, 188,823.43 and 31,113.72 is: 46,670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,883.53 : 188,823.43 = 31,113.72 : x
  2. Step 2: Convert to fraction form
    125,883.53/188,823.43 = 31,113.72/x
  3. Step 3: Cross multiply
    125,883.53x = 188,823.43 × 31,113.72
  4. Step 4: Simplify right side
    125,883.53x = 5,874,999,330.46
  5. Step 5: Solve for x
    x = 5,874,999,330.46/125,883.53
  6. Step 6: Final answer
    x = 46,670.12

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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.