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Finding the Fourth Proportional to 102,705.20, 153,928.20 and 50,001.20

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Solution

The fourth proportional to 102,705.20, 153,928.20 and 50,001.20 is: 74,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,705.20 : 153,928.20 = 50,001.20 : x
  2. Step 2: Convert to fraction form
    102,705.20/153,928.20 = 50,001.20/x
  3. Step 3: Cross multiply
    102,705.20x = 153,928.20 × 50,001.20
  4. Step 4: Simplify right side
    102,705.20x = 7,696,594,713.84
  5. Step 5: Solve for x
    x = 7,696,594,713.84/102,705.20
  6. Step 6: Final answer
    x = 74,938.71

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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.