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Finding the Fourth Proportional to 96,678.40, 144,940.80 and 52,902.40

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Solution

The fourth proportional to 96,678.40, 144,940.80 and 52,902.40 is: 79,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,678.40 : 144,940.80 = 52,902.40 : x
  2. Step 2: Convert to fraction form
    96,678.40/144,940.80 = 52,902.40/x
  3. Step 3: Cross multiply
    96,678.40x = 144,940.80 × 52,902.40
  4. Step 4: Simplify right side
    96,678.40x = 7,667,716,177.92
  5. Step 5: Solve for x
    x = 7,667,716,177.92/96,678.40
  6. Step 6: Final answer
    x = 79,311.58

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1.5x scale

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.