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Finding the Fourth Proportional to 101,347.90, 151,978.10 and 31,211.62

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Solution

The fourth proportional to 101,347.90, 151,978.10 and 31,211.62 is: 46,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,347.90 : 151,978.10 = 31,211.62 : x
  2. Step 2: Convert to fraction form
    101,347.90/151,978.10 = 31,211.62/x
  3. Step 3: Cross multiply
    101,347.90x = 151,978.10 × 31,211.62
  4. Step 4: Simplify right side
    101,347.90x = 4,743,482,705.52
  5. Step 5: Solve for x
    x = 4,743,482,705.52/101,347.90
  6. Step 6: Final answer
    x = 46,803.96

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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.