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Finding the Fourth Proportional to 243,838.38, 365,769.81 and 77,639.34

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Solution

The fourth proportional to 243,838.38, 365,769.81 and 77,639.34 is: 116,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,838.38 : 365,769.81 = 77,639.34 : x
  2. Step 2: Convert to fraction form
    243,838.38/365,769.81 = 77,639.34/x
  3. Step 3: Cross multiply
    243,838.38x = 365,769.81 × 77,639.34
  4. Step 4: Simplify right side
    243,838.38x = 28,398,126,640.33
  5. Step 5: Solve for x
    x = 28,398,126,640.33/243,838.38
  6. Step 6: Final answer
    x = 116,462.91

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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.