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Finding the Fourth Proportional to 272,681.78, 409,043.16 and 72,997.74

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Solution

The fourth proportional to 272,681.78, 409,043.16 and 72,997.74 is: 109,502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,681.78 : 409,043.16 = 72,997.74 : x
  2. Step 2: Convert to fraction form
    272,681.78/409,043.16 = 72,997.74/x
  3. Step 3: Cross multiply
    272,681.78x = 409,043.16 × 72,997.74
  4. Step 4: Simplify right side
    272,681.78x = 29,859,226,242.46
  5. Step 5: Solve for x
    x = 29,859,226,242.46/272,681.78
  6. Step 6: Final answer
    x = 109,502.10

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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.