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Finding the Fourth Proportional to 138,296.43, 190,867.25 and 77,878.89

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Solution

The fourth proportional to 138,296.43, 190,867.25 and 77,878.89 is: 107,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,296.43 : 190,867.25 = 77,878.89 : x
  2. Step 2: Convert to fraction form
    138,296.43/190,867.25 = 77,878.89/x
  3. Step 3: Cross multiply
    138,296.43x = 190,867.25 × 77,878.89
  4. Step 4: Simplify right side
    138,296.43x = 14,864,529,762.05
  5. Step 5: Solve for x
    x = 14,864,529,762.05/138,296.43
  6. Step 6: Final answer
    x = 107,483.11

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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.