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Finding the Fourth Proportional to 194,488.40, 291,706.68 and 54,235.28

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Solution

The fourth proportional to 194,488.40, 291,706.68 and 54,235.28 is: 81,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,488.40 : 291,706.68 = 54,235.28 : x
  2. Step 2: Convert to fraction form
    194,488.40/291,706.68 = 54,235.28/x
  3. Step 3: Cross multiply
    194,488.40x = 291,706.68 × 54,235.28
  4. Step 4: Simplify right side
    194,488.40x = 15,820,793,467.67
  5. Step 5: Solve for x
    x = 15,820,793,467.67/194,488.40
  6. Step 6: Final answer
    x = 81,345.69

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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.