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Finding the Fourth Proportional to 113,884, 170,612.16 and 105,291.52

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Solution

The fourth proportional to 113,884, 170,612.16 and 105,291.52 is: 157,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,884 : 170,612.16 = 105,291.52 : x
  2. Step 2: Convert to fraction form
    113,884/170,612.16 = 105,291.52/x
  3. Step 3: Cross multiply
    113,884x = 170,612.16 × 105,291.52
  4. Step 4: Simplify right side
    113,884x = 17,964,013,656.88
  5. Step 5: Solve for x
    x = 17,964,013,656.88/113,884
  6. Step 6: Final answer
    x = 157,739.57

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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.