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Finding the Fourth Proportional to 194,490, 291,784.29 and 54,248.64

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Solution

The fourth proportional to 194,490, 291,784.29 and 54,248.64 is: 81,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,490 : 291,784.29 = 54,248.64 : x
  2. Step 2: Convert to fraction form
    194,490/291,784.29 = 54,248.64/x
  3. Step 3: Cross multiply
    194,490x = 291,784.29 × 54,248.64
  4. Step 4: Simplify right side
    194,490x = 15,828,900,905.87
  5. Step 5: Solve for x
    x = 15,828,900,905.87/194,490
  6. Step 6: Final answer
    x = 81,386.71

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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.