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Finding the Fourth Proportional to 78,878.94, 118,248.25 and 28,947.61

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Solution

The fourth proportional to 78,878.94, 118,248.25 and 28,947.61 is: 43,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,878.94 : 118,248.25 = 28,947.61 : x
  2. Step 2: Convert to fraction form
    78,878.94/118,248.25 = 28,947.61/x
  3. Step 3: Cross multiply
    78,878.94x = 118,248.25 × 28,947.61
  4. Step 4: Simplify right side
    78,878.94x = 3,423,004,224.18
  5. Step 5: Solve for x
    x = 3,423,004,224.18/78,878.94
  6. Step 6: Final answer
    x = 43,395.67

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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.