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Finding the Fourth Proportional to 78,494.81, 117,746.29 and 25,908.40

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Solution

The fourth proportional to 78,494.81, 117,746.29 and 25,908.40 is: 38,863.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,494.81 : 117,746.29 = 25,908.40 : x
  2. Step 2: Convert to fraction form
    78,494.81/117,746.29 = 25,908.40/x
  3. Step 3: Cross multiply
    78,494.81x = 117,746.29 × 25,908.40
  4. Step 4: Simplify right side
    78,494.81x = 3,050,617,979.84
  5. Step 5: Solve for x
    x = 3,050,617,979.84/78,494.81
  6. Step 6: Final answer
    x = 38,863.95

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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.