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Finding the Fourth Proportional to 102,859.10, 154,288.65 and 85,363.10

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Solution

The fourth proportional to 102,859.10, 154,288.65 and 85,363.10 is: 128,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,859.10 : 154,288.65 = 85,363.10 : x
  2. Step 2: Convert to fraction form
    102,859.10/154,288.65 = 85,363.10/x
  3. Step 3: Cross multiply
    102,859.10x = 154,288.65 × 85,363.10
  4. Step 4: Simplify right side
    102,859.10x = 13,170,557,458.82
  5. Step 5: Solve for x
    x = 13,170,557,458.82/102,859.10
  6. Step 6: Final answer
    x = 128,044.65

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1.5x scale

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.