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Finding the Fourth Proportional to 68,120, 94,009.92 and 38,312

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Solution

The fourth proportional to 68,120, 94,009.92 and 38,312 is: 52,872.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,120 : 94,009.92 = 38,312 : x
  2. Step 2: Convert to fraction form
    68,120/94,009.92 = 38,312/x
  3. Step 3: Cross multiply
    68,120x = 94,009.92 × 38,312
  4. Step 4: Simplify right side
    68,120x = 3,601,708,055.04
  5. Step 5: Solve for x
    x = 3,601,708,055.04/68,120
  6. Step 6: Final answer
    x = 52,872.99

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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.