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Finding the Fourth Proportional to 178,012.38, 267,019.64 and 72,831.35

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Solution

The fourth proportional to 178,012.38, 267,019.64 and 72,831.35 is: 109,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,012.38 : 267,019.64 = 72,831.35 : x
  2. Step 2: Convert to fraction form
    178,012.38/267,019.64 = 72,831.35/x
  3. Step 3: Cross multiply
    178,012.38x = 267,019.64 × 72,831.35
  4. Step 4: Simplify right side
    178,012.38x = 19,447,401,434.22
  5. Step 5: Solve for x
    x = 19,447,401,434.22/178,012.38
  6. Step 6: Final answer
    x = 109,247.46

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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.