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Finding the Fourth Proportional to 70,472.72, 105,678.32 and 26,666

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Solution

The fourth proportional to 70,472.72, 105,678.32 and 26,666 is: 39,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,472.72 : 105,678.32 = 26,666 : x
  2. Step 2: Convert to fraction form
    70,472.72/105,678.32 = 26,666/x
  3. Step 3: Cross multiply
    70,472.72x = 105,678.32 × 26,666
  4. Step 4: Simplify right side
    70,472.72x = 2,818,018,081.12
  5. Step 5: Solve for x
    x = 2,818,018,081.12/70,472.72
  6. Step 6: Final answer
    x = 39,987.36

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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.