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Finding the Fourth Proportional to 68,465.92, 94,478.40 and 38,656

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Solution

The fourth proportional to 68,465.92, 94,478.40 and 38,656 is: 53,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,465.92 : 94,478.40 = 38,656 : x
  2. Step 2: Convert to fraction form
    68,465.92/94,478.40 = 38,656/x
  3. Step 3: Cross multiply
    68,465.92x = 94,478.40 × 38,656
  4. Step 4: Simplify right side
    68,465.92x = 3,652,157,030.40
  5. Step 5: Solve for x
    x = 3,652,157,030.40/68,465.92
  6. Step 6: Final answer
    x = 53,342.70

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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.