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Finding the Fourth Proportional to 272,905, 409,372.08 and 85,931.08

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Solution

The fourth proportional to 272,905, 409,372.08 and 85,931.08 is: 128,901.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,905 : 409,372.08 = 85,931.08 : x
  2. Step 2: Convert to fraction form
    272,905/409,372.08 = 85,931.08/x
  3. Step 3: Cross multiply
    272,905x = 409,372.08 × 85,931.08
  4. Step 4: Simplify right side
    272,905x = 35,177,784,956.25
  5. Step 5: Solve for x
    x = 35,177,784,956.25/272,905
  6. Step 6: Final answer
    x = 128,901.21

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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.