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Finding the Fourth Proportional to 119,023.70, 164,247.21 and 65,307.38

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Solution

The fourth proportional to 119,023.70, 164,247.21 and 65,307.38 is: 90,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,023.70 : 164,247.21 = 65,307.38 : x
  2. Step 2: Convert to fraction form
    119,023.70/164,247.21 = 65,307.38/x
  3. Step 3: Cross multiply
    119,023.70x = 164,247.21 × 65,307.38
  4. Step 4: Simplify right side
    119,023.70x = 10,726,554,957.41
  5. Step 5: Solve for x
    x = 10,726,554,957.41/119,023.70
  6. Step 6: Final answer
    x = 90,121.17

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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.