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Finding the Fourth Proportional to 67,155.94, 92,678.34 and 38,856.16

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Solution

The fourth proportional to 67,155.94, 92,678.34 and 38,856.16 is: 53,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,155.94 : 92,678.34 = 38,856.16 : x
  2. Step 2: Convert to fraction form
    67,155.94/92,678.34 = 38,856.16/x
  3. Step 3: Cross multiply
    67,155.94x = 92,678.34 × 38,856.16
  4. Step 4: Simplify right side
    67,155.94x = 3,601,124,407.57
  5. Step 5: Solve for x
    x = 3,601,124,407.57/67,155.94
  6. Step 6: Final answer
    x = 53,623.32

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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.