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Finding the Fourth Proportional to 98,934.40, 148,516.80 and 64,019.20

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Solution

The fourth proportional to 98,934.40, 148,516.80 and 64,019.20 is: 96,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,934.40 : 148,516.80 = 64,019.20 : x
  2. Step 2: Convert to fraction form
    98,934.40/148,516.80 = 64,019.20/x
  3. Step 3: Cross multiply
    98,934.40x = 148,516.80 × 64,019.20
  4. Step 4: Simplify right side
    98,934.40x = 9,507,926,722.56
  5. Step 5: Solve for x
    x = 9,507,926,722.56/98,934.40
  6. Step 6: Final answer
    x = 96,103.34

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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.