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Finding the Fourth Proportional to 70,905.20, 106,342.90 and 31,437.14

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Solution

The fourth proportional to 70,905.20, 106,342.90 and 31,437.14 is: 47,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,905.20 : 106,342.90 = 31,437.14 : x
  2. Step 2: Convert to fraction form
    70,905.20/106,342.90 = 31,437.14/x
  3. Step 3: Cross multiply
    70,905.20x = 106,342.90 × 31,437.14
  4. Step 4: Simplify right side
    70,905.20x = 3,343,116,025.00
  5. Step 5: Solve for x
    x = 3,343,116,025.00/70,905.20
  6. Step 6: Final answer
    x = 47,149.10

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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.