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Finding the Fourth Proportional to 70,864.32, 106,223.56 and 31,440

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Solution

The fourth proportional to 70,864.32, 106,223.56 and 31,440 is: 47,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,864.32 : 106,223.56 = 31,440 : x
  2. Step 2: Convert to fraction form
    70,864.32/106,223.56 = 31,440/x
  3. Step 3: Cross multiply
    70,864.32x = 106,223.56 × 31,440
  4. Step 4: Simplify right side
    70,864.32x = 3,339,668,726.40
  5. Step 5: Solve for x
    x = 3,339,668,726.40/70,864.32
  6. Step 6: Final answer
    x = 47,127.65

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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.