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Finding the Fourth Proportional to 189,952.29, 262,124.91 and 103,915.71

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Solution

The fourth proportional to 189,952.29, 262,124.91 and 103,915.71 is: 143,398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,952.29 : 262,124.91 = 103,915.71 : x
  2. Step 2: Convert to fraction form
    189,952.29/262,124.91 = 103,915.71/x
  3. Step 3: Cross multiply
    189,952.29x = 262,124.91 × 103,915.71
  4. Step 4: Simplify right side
    189,952.29x = 27,238,896,131.34
  5. Step 5: Solve for x
    x = 27,238,896,131.34/189,952.29
  6. Step 6: Final answer
    x = 143,398.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.