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Finding the Fourth Proportional to 70,462.05, 105,695.10 and 17,871.45

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Solution

The fourth proportional to 70,462.05, 105,695.10 and 17,871.45 is: 26,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,462.05 : 105,695.10 = 17,871.45 : x
  2. Step 2: Convert to fraction form
    70,462.05/105,695.10 = 17,871.45/x
  3. Step 3: Cross multiply
    70,462.05x = 105,695.10 × 17,871.45
  4. Step 4: Simplify right side
    70,462.05x = 1,888,924,694.90
  5. Step 5: Solve for x
    x = 1,888,924,694.90/70,462.05
  6. Step 6: Final answer
    x = 26,807.69

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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.