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Finding the Fourth Proportional to 190,695.39, 285,932.31 and 72,302.14

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Solution

The fourth proportional to 190,695.39, 285,932.31 and 72,302.14 is: 108,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,695.39 : 285,932.31 = 72,302.14 : x
  2. Step 2: Convert to fraction form
    190,695.39/285,932.31 = 72,302.14/x
  3. Step 3: Cross multiply
    190,695.39x = 285,932.31 × 72,302.14
  4. Step 4: Simplify right side
    190,695.39x = 20,673,518,401.13
  5. Step 5: Solve for x
    x = 20,673,518,401.13/190,695.39
  6. Step 6: Final answer
    x = 108,411.21

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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.