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Finding the Fourth Proportional to 70,931.80, 106,401.36 and 18,341.74

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Solution

The fourth proportional to 70,931.80, 106,401.36 and 18,341.74 is: 27,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,931.80 : 106,401.36 = 18,341.74 : x
  2. Step 2: Convert to fraction form
    70,931.80/106,401.36 = 18,341.74/x
  3. Step 3: Cross multiply
    70,931.80x = 106,401.36 × 18,341.74
  4. Step 4: Simplify right side
    70,931.80x = 1,951,586,080.77
  5. Step 5: Solve for x
    x = 1,951,586,080.77/70,931.80
  6. Step 6: Final answer
    x = 27,513.56

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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.