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Finding the Fourth Proportional to 192,627.48, 288,549.54 and 157,215

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Solution

The fourth proportional to 192,627.48, 288,549.54 and 157,215 is: 235,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,627.48 : 288,549.54 = 157,215 : x
  2. Step 2: Convert to fraction form
    192,627.48/288,549.54 = 157,215/x
  3. Step 3: Cross multiply
    192,627.48x = 288,549.54 × 157,215
  4. Step 4: Simplify right side
    192,627.48x = 45,364,315,931.10
  5. Step 5: Solve for x
    x = 45,364,315,931.10/192,627.48
  6. Step 6: Final answer
    x = 235,502.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.