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Finding the Fourth Proportional to 257,803.56, 386,836.56 and 117,543.96

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Solution

The fourth proportional to 257,803.56, 386,836.56 and 117,543.96 is: 176,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,803.56 : 386,836.56 = 117,543.96 : x
  2. Step 2: Convert to fraction form
    257,803.56/386,836.56 = 117,543.96/x
  3. Step 3: Cross multiply
    257,803.56x = 386,836.56 × 117,543.96
  4. Step 4: Simplify right side
    257,803.56x = 45,470,301,135.18
  5. Step 5: Solve for x
    x = 45,470,301,135.18/257,803.56
  6. Step 6: Final answer
    x = 176,375.77

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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.