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Finding the Fourth Proportional to 154,042.14, 212,574 and 84,188.68

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Solution

The fourth proportional to 154,042.14, 212,574 and 84,188.68 is: 116,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,042.14 : 212,574 = 84,188.68 : x
  2. Step 2: Convert to fraction form
    154,042.14/212,574 = 84,188.68/x
  3. Step 3: Cross multiply
    154,042.14x = 212,574 × 84,188.68
  4. Step 4: Simplify right side
    154,042.14x = 17,896,324,462.32
  5. Step 5: Solve for x
    x = 17,896,324,462.32/154,042.14
  6. Step 6: Final answer
    x = 116,178.11

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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.