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Finding the Fourth Proportional to 140,578.68, 210,868.14 and 57,472.68

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Solution

The fourth proportional to 140,578.68, 210,868.14 and 57,472.68 is: 86,209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,578.68 : 210,868.14 = 57,472.68 : x
  2. Step 2: Convert to fraction form
    140,578.68/210,868.14 = 57,472.68/x
  3. Step 3: Cross multiply
    140,578.68x = 210,868.14 × 57,472.68
  4. Step 4: Simplify right side
    140,578.68x = 12,119,157,132.42
  5. Step 5: Solve for x
    x = 12,119,157,132.42/140,578.68
  6. Step 6: Final answer
    x = 86,209.07

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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.