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Finding the Fourth Proportional to 140,649.20, 210,974.68 and 57,543.20

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Solution

The fourth proportional to 140,649.20, 210,974.68 and 57,543.20 is: 86,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,649.20 : 210,974.68 = 57,543.20 : x
  2. Step 2: Convert to fraction form
    140,649.20/210,974.68 = 57,543.20/x
  3. Step 3: Cross multiply
    140,649.20x = 210,974.68 × 57,543.20
  4. Step 4: Simplify right side
    140,649.20x = 12,140,158,206.18
  5. Step 5: Solve for x
    x = 12,140,158,206.18/140,649.20
  6. Step 6: Final answer
    x = 86,315.16

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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.