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Finding the Fourth Proportional to 102,104.79, 153,063.81 and 42,944.64

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Solution

The fourth proportional to 102,104.79, 153,063.81 and 42,944.64 is: 64,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,104.79 : 153,063.81 = 42,944.64 : x
  2. Step 2: Convert to fraction form
    102,104.79/153,063.81 = 42,944.64/x
  3. Step 3: Cross multiply
    102,104.79x = 153,063.81 × 42,944.64
  4. Step 4: Simplify right side
    102,104.79x = 6,573,270,217.48
  5. Step 5: Solve for x
    x = 6,573,270,217.48/102,104.79
  6. Step 6: Final answer
    x = 64,377.69

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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.