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Finding the Fourth Proportional to 70,957.17, 106,315.31 and 42,818.11

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Solution

The fourth proportional to 70,957.17, 106,315.31 and 42,818.11 is: 64,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,957.17 : 106,315.31 = 42,818.11 : x
  2. Step 2: Convert to fraction form
    70,957.17/106,315.31 = 42,818.11/x
  3. Step 3: Cross multiply
    70,957.17x = 106,315.31 × 42,818.11
  4. Step 4: Simplify right side
    70,957.17x = 4,552,220,479.52
  5. Step 5: Solve for x
    x = 4,552,220,479.52/70,957.17
  6. Step 6: Final answer
    x = 64,154.48

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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.