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Finding the Fourth Proportional to 70,889.88, 106,261.80 and 31,465.56

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Solution

The fourth proportional to 70,889.88, 106,261.80 and 31,465.56 is: 47,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,889.88 : 106,261.80 = 31,465.56 : x
  2. Step 2: Convert to fraction form
    70,889.88/106,261.80 = 31,465.56/x
  3. Step 3: Cross multiply
    70,889.88x = 106,261.80 × 31,465.56
  4. Step 4: Simplify right side
    70,889.88x = 3,343,587,043.61
  5. Step 5: Solve for x
    x = 3,343,587,043.61/70,889.88
  6. Step 6: Final answer
    x = 47,165.93

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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.