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Finding the Fourth Proportional to 85,983.54, 128,960.70 and 39,225.48

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Solution

The fourth proportional to 85,983.54, 128,960.70 and 39,225.48 is: 58,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,983.54 : 128,960.70 = 39,225.48 : x
  2. Step 2: Convert to fraction form
    85,983.54/128,960.70 = 39,225.48/x
  3. Step 3: Cross multiply
    85,983.54x = 128,960.70 × 39,225.48
  4. Step 4: Simplify right side
    85,983.54x = 5,058,545,358.64
  5. Step 5: Solve for x
    x = 5,058,545,358.64/85,983.54
  6. Step 6: Final answer
    x = 58,831.55

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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.