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Finding the Fourth Proportional to 102,758.66, 154,145.55 and 43,587.62

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Solution

The fourth proportional to 102,758.66, 154,145.55 and 43,587.62 is: 65,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,758.66 : 154,145.55 = 43,587.62 : x
  2. Step 2: Convert to fraction form
    102,758.66/154,145.55 = 43,587.62/x
  3. Step 3: Cross multiply
    102,758.66x = 154,145.55 × 43,587.62
  4. Step 4: Simplify right side
    102,758.66x = 6,718,837,658.09
  5. Step 5: Solve for x
    x = 6,718,837,658.09/102,758.66
  6. Step 6: Final answer
    x = 65,384.64

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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.