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Finding the Fourth Proportional to 78,878.57, 108,856.83 and 43,071.90

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Solution

The fourth proportional to 78,878.57, 108,856.83 and 43,071.90 is: 59,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,878.57 : 108,856.83 = 43,071.90 : x
  2. Step 2: Convert to fraction form
    78,878.57/108,856.83 = 43,071.90/x
  3. Step 3: Cross multiply
    78,878.57x = 108,856.83 × 43,071.90
  4. Step 4: Simplify right side
    78,878.57x = 4,688,670,496.08
  5. Step 5: Solve for x
    x = 4,688,670,496.08/78,878.57
  6. Step 6: Final answer
    x = 59,441.63

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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.