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Finding the Fourth Proportional to 98,732.16, 136,247.04 and 54,019.20

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Solution

The fourth proportional to 98,732.16, 136,247.04 and 54,019.20 is: 74,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,732.16 : 136,247.04 = 54,019.20 : x
  2. Step 2: Convert to fraction form
    98,732.16/136,247.04 = 54,019.20/x
  3. Step 3: Cross multiply
    98,732.16x = 136,247.04 × 54,019.20
  4. Step 4: Simplify right side
    98,732.16x = 7,359,956,103.17
  5. Step 5: Solve for x
    x = 7,359,956,103.17/98,732.16
  6. Step 6: Final answer
    x = 74,544.67

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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.