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Finding the Fourth Proportional to 70,459.72, 105,658.86 and 26,653

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Solution

The fourth proportional to 70,459.72, 105,658.86 and 26,653 is: 39,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,459.72 : 105,658.86 = 26,653 : x
  2. Step 2: Convert to fraction form
    70,459.72/105,658.86 = 26,653/x
  3. Step 3: Cross multiply
    70,459.72x = 105,658.86 × 26,653
  4. Step 4: Simplify right side
    70,459.72x = 2,816,125,595.58
  5. Step 5: Solve for x
    x = 2,816,125,595.58/70,459.72
  6. Step 6: Final answer
    x = 39,967.88

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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.