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Finding the Fourth Proportional to 78,878, 118,334.28 and 29,630

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Solution

The fourth proportional to 78,878, 118,334.28 and 29,630 is: 44,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,878 : 118,334.28 = 29,630 : x
  2. Step 2: Convert to fraction form
    78,878/118,334.28 = 29,630/x
  3. Step 3: Cross multiply
    78,878x = 118,334.28 × 29,630
  4. Step 4: Simplify right side
    78,878x = 3,506,244,716.40
  5. Step 5: Solve for x
    x = 3,506,244,716.40/78,878
  6. Step 6: Final answer
    x = 44,451.49

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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.