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Finding the Fourth Proportional to 154,793.88, 213,623.46 and 86,825.16

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Solution

The fourth proportional to 154,793.88, 213,623.46 and 86,825.16 is: 119,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,793.88 : 213,623.46 = 86,825.16 : x
  2. Step 2: Convert to fraction form
    154,793.88/213,623.46 = 86,825.16/x
  3. Step 3: Cross multiply
    154,793.88x = 213,623.46 × 86,825.16
  4. Step 4: Simplify right side
    154,793.88x = 18,547,891,094.25
  5. Step 5: Solve for x
    x = 18,547,891,094.25/154,793.88
  6. Step 6: Final answer
    x = 119,823.16

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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.