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Finding the Fourth Proportional to 100,302.96, 138,416.10 and 54,981.02

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Solution

The fourth proportional to 100,302.96, 138,416.10 and 54,981.02 is: 75,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,302.96 : 138,416.10 = 54,981.02 : x
  2. Step 2: Convert to fraction form
    100,302.96/138,416.10 = 54,981.02/x
  3. Step 3: Cross multiply
    100,302.96x = 138,416.10 × 54,981.02
  4. Step 4: Simplify right side
    100,302.96x = 7,610,258,362.42
  5. Step 5: Solve for x
    x = 7,610,258,362.42/100,302.96
  6. Step 6: Final answer
    x = 75,872.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.