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Finding the Fourth Proportional to 187,296.92, 280,501.49 and 107,378.31

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Solution

The fourth proportional to 187,296.92, 280,501.49 and 107,378.31 is: 160,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,296.92 : 280,501.49 = 107,378.31 : x
  2. Step 2: Convert to fraction form
    187,296.92/280,501.49 = 107,378.31/x
  3. Step 3: Cross multiply
    187,296.92x = 280,501.49 × 107,378.31
  4. Step 4: Simplify right side
    187,296.92x = 30,119,775,411.79
  5. Step 5: Solve for x
    x = 30,119,775,411.79/187,296.92
  6. Step 6: Final answer
    x = 160,812.98

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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.