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Finding the Fourth Proportional to 102,054.53, 153,103.62 and 42,859.73

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Solution

The fourth proportional to 102,054.53, 153,103.62 and 42,859.73 is: 64,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,054.53 : 153,103.62 = 42,859.73 : x
  2. Step 2: Convert to fraction form
    102,054.53/153,103.62 = 42,859.73/x
  3. Step 3: Cross multiply
    102,054.53x = 153,103.62 × 42,859.73
  4. Step 4: Simplify right side
    102,054.53x = 6,561,979,815.22
  5. Step 5: Solve for x
    x = 6,561,979,815.22/102,054.53
  6. Step 6: Final answer
    x = 64,298.76

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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.