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Finding the Fourth Proportional to 109,978.11, 164,934.18 and 57,358.89

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Solution

The fourth proportional to 109,978.11, 164,934.18 and 57,358.89 is: 86,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,978.11 : 164,934.18 = 57,358.89 : x
  2. Step 2: Convert to fraction form
    109,978.11/164,934.18 = 57,358.89/x
  3. Step 3: Cross multiply
    109,978.11x = 164,934.18 × 57,358.89
  4. Step 4: Simplify right side
    109,978.11x = 9,460,441,487.86
  5. Step 5: Solve for x
    x = 9,460,441,487.86/109,978.11
  6. Step 6: Final answer
    x = 86,021.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.