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Finding the Fourth Proportional to 70,964.70, 106,326.55 and 42,825.64

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Solution

The fourth proportional to 70,964.70, 106,326.55 and 42,825.64 is: 64,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,964.70 : 106,326.55 = 42,825.64 : x
  2. Step 2: Convert to fraction form
    70,964.70/106,326.55 = 42,825.64/x
  3. Step 3: Cross multiply
    70,964.70x = 106,326.55 × 42,825.64
  4. Step 4: Simplify right side
    70,964.70x = 4,553,502,248.16
  5. Step 5: Solve for x
    x = 4,553,502,248.16/70,964.70
  6. Step 6: Final answer
    x = 64,165.74

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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.