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Finding the Fourth Proportional to 109,254.82, 150,774.46 and 61,509.86

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Solution

The fourth proportional to 109,254.82, 150,774.46 and 61,509.86 is: 84,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,254.82 : 150,774.46 = 61,509.86 : x
  2. Step 2: Convert to fraction form
    109,254.82/150,774.46 = 61,509.86/x
  3. Step 3: Cross multiply
    109,254.82x = 150,774.46 × 61,509.86
  4. Step 4: Simplify right side
    109,254.82x = 9,274,115,926.18
  5. Step 5: Solve for x
    x = 9,274,115,926.18/109,254.82
  6. Step 6: Final answer
    x = 84,885.19

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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.