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Finding the Fourth Proportional to 57,981.78, 80,014.80 and 32,831.28

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Solution

The fourth proportional to 57,981.78, 80,014.80 and 32,831.28 is: 45,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,981.78 : 80,014.80 = 32,831.28 : x
  2. Step 2: Convert to fraction form
    57,981.78/80,014.80 = 32,831.28/x
  3. Step 3: Cross multiply
    57,981.78x = 80,014.80 × 32,831.28
  4. Step 4: Simplify right side
    57,981.78x = 2,626,988,302.94
  5. Step 5: Solve for x
    x = 2,626,988,302.94/57,981.78
  6. Step 6: Final answer
    x = 45,307.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.