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Finding the Fourth Proportional to 272,675.68, 409,097.05 and 139,649.38

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Solution

The fourth proportional to 272,675.68, 409,097.05 and 139,649.38 is: 209,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,675.68 : 409,097.05 = 139,649.38 : x
  2. Step 2: Convert to fraction form
    272,675.68/409,097.05 = 139,649.38/x
  3. Step 3: Cross multiply
    272,675.68x = 409,097.05 × 139,649.38
  4. Step 4: Simplify right side
    272,675.68x = 57,130,148,020.46
  5. Step 5: Solve for x
    x = 57,130,148,020.46/272,675.68
  6. Step 6: Final answer
    x = 209,516.85

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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.