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Finding the Fourth Proportional to 194,092.74, 291,135.86 and 87,417.36

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Solution

The fourth proportional to 194,092.74, 291,135.86 and 87,417.36 is: 131,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,092.74 : 291,135.86 = 87,417.36 : x
  2. Step 2: Convert to fraction form
    194,092.74/291,135.86 = 87,417.36/x
  3. Step 3: Cross multiply
    194,092.74x = 291,135.86 × 87,417.36
  4. Step 4: Simplify right side
    194,092.74x = 25,450,328,282.53
  5. Step 5: Solve for x
    x = 25,450,328,282.53/194,092.74
  6. Step 6: Final answer
    x = 131,124.58

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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.