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Finding the Fourth Proportional to 194,299.70, 291,488.81 and 81,980.17

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Solution

The fourth proportional to 194,299.70, 291,488.81 and 81,980.17 is: 122,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,299.70 : 291,488.81 = 81,980.17 : x
  2. Step 2: Convert to fraction form
    194,299.70/291,488.81 = 81,980.17/x
  3. Step 3: Cross multiply
    194,299.70x = 291,488.81 × 81,980.17
  4. Step 4: Simplify right side
    194,299.70x = 23,896,301,058.27
  5. Step 5: Solve for x
    x = 23,896,301,058.27/194,299.70
  6. Step 6: Final answer
    x = 122,986.82

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1.5x scale

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.