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Finding the Fourth Proportional to 194,463, 291,743.71 and 54,221.63

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Solution

The fourth proportional to 194,463, 291,743.71 and 54,221.63 is: 81,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,463 : 291,743.71 = 54,221.63 : x
  2. Step 2: Convert to fraction form
    194,463/291,743.71 = 54,221.63/x
  3. Step 3: Cross multiply
    194,463x = 291,743.71 × 54,221.63
  4. Step 4: Simplify right side
    194,463x = 15,818,817,904.17
  5. Step 5: Solve for x
    x = 15,818,817,904.17/194,463
  6. Step 6: Final answer
    x = 81,346.16

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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.