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Finding the Fourth Proportional to 214,061.76, 295,325.92 and 138,651.84

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Solution

The fourth proportional to 214,061.76, 295,325.92 and 138,651.84 is: 191,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,061.76 : 295,325.92 = 138,651.84 : x
  2. Step 2: Convert to fraction form
    214,061.76/295,325.92 = 138,651.84/x
  3. Step 3: Cross multiply
    214,061.76x = 295,325.92 × 138,651.84
  4. Step 4: Simplify right side
    214,061.76x = 40,947,482,207.69
  5. Step 5: Solve for x
    x = 40,947,482,207.69/214,061.76
  6. Step 6: Final answer
    x = 191,288.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.