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Finding the Fourth Proportional to 70,878, 106,317 and 29,326.08

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Solution

The fourth proportional to 70,878, 106,317 and 29,326.08 is: 43,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878 : 106,317 = 29,326.08 : x
  2. Step 2: Convert to fraction form
    70,878/106,317 = 29,326.08/x
  3. Step 3: Cross multiply
    70,878x = 106,317 × 29,326.08
  4. Step 4: Simplify right side
    70,878x = 3,117,860,847.36
  5. Step 5: Solve for x
    x = 3,117,860,847.36/70,878
  6. Step 6: Final answer
    x = 43,989.12

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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.