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Finding the Fourth Proportional to 78,089.76, 117,134.64 and 18,925.43

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Solution

The fourth proportional to 78,089.76, 117,134.64 and 18,925.43 is: 28,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,089.76 : 117,134.64 = 18,925.43 : x
  2. Step 2: Convert to fraction form
    78,089.76/117,134.64 = 18,925.43/x
  3. Step 3: Cross multiply
    78,089.76x = 117,134.64 × 18,925.43
  4. Step 4: Simplify right side
    78,089.76x = 2,216,823,201.13
  5. Step 5: Solve for x
    x = 2,216,823,201.13/78,089.76
  6. Step 6: Final answer
    x = 28,388.14

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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.