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Finding the Fourth Proportional to 78,878.19, 118,247.12 and 28,946.86

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Solution

The fourth proportional to 78,878.19, 118,247.12 and 28,946.86 is: 43,394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,878.19 : 118,247.12 = 28,946.86 : x
  2. Step 2: Convert to fraction form
    78,878.19/118,247.12 = 28,946.86/x
  3. Step 3: Cross multiply
    78,878.19x = 118,247.12 × 28,946.86
  4. Step 4: Simplify right side
    78,878.19x = 3,422,882,828.04
  5. Step 5: Solve for x
    x = 3,422,882,828.04/78,878.19
  6. Step 6: Final answer
    x = 43,394.54

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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.