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Finding the Fourth Proportional to 70,461.86, 105,689.12 and 17,871.80

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Solution

The fourth proportional to 70,461.86, 105,689.12 and 17,871.80 is: 26,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,461.86 : 105,689.12 = 17,871.80 : x
  2. Step 2: Convert to fraction form
    70,461.86/105,689.12 = 17,871.80/x
  3. Step 3: Cross multiply
    70,461.86x = 105,689.12 × 17,871.80
  4. Step 4: Simplify right side
    70,461.86x = 1,888,854,814.82
  5. Step 5: Solve for x
    x = 1,888,854,814.82/70,461.86
  6. Step 6: Final answer
    x = 26,806.77

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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.