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Finding the Fourth Proportional to 154,812, 213,686.16 and 101,105.28

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Solution

The fourth proportional to 154,812, 213,686.16 and 101,105.28 is: 139,555.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,812 : 213,686.16 = 101,105.28 : x
  2. Step 2: Convert to fraction form
    154,812/213,686.16 = 101,105.28/x
  3. Step 3: Cross multiply
    154,812x = 213,686.16 × 101,105.28
  4. Step 4: Simplify right side
    154,812x = 21,604,799,038.92
  5. Step 5: Solve for x
    x = 21,604,799,038.92/154,812
  6. Step 6: Final answer
    x = 139,555.07

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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.