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Finding the Fourth Proportional to 154,148, 212,724.24 and 83,492

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Solution

The fourth proportional to 154,148, 212,724.24 and 83,492 is: 115,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,148 : 212,724.24 = 83,492 : x
  2. Step 2: Convert to fraction form
    154,148/212,724.24 = 83,492/x
  3. Step 3: Cross multiply
    154,148x = 212,724.24 × 83,492
  4. Step 4: Simplify right side
    154,148x = 17,760,772,246.08
  5. Step 5: Solve for x
    x = 17,760,772,246.08/154,148
  6. Step 6: Final answer
    x = 115,218.96

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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.