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Finding the Fourth Proportional to 207,856.16, 311,550.93 and 102,748.94

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Solution

The fourth proportional to 207,856.16, 311,550.93 and 102,748.94 is: 154,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,856.16 : 311,550.93 = 102,748.94 : x
  2. Step 2: Convert to fraction form
    207,856.16/311,550.93 = 102,748.94/x
  3. Step 3: Cross multiply
    207,856.16x = 311,550.93 × 102,748.94
  4. Step 4: Simplify right side
    207,856.16x = 32,011,526,255.76
  5. Step 5: Solve for x
    x = 32,011,526,255.76/207,856.16
  6. Step 6: Final answer
    x = 154,008.07

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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.