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Finding the Fourth Proportional to 187,207, 280,810.50 and 55,879

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Solution

The fourth proportional to 187,207, 280,810.50 and 55,879 is: 83,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,207 : 280,810.50 = 55,879 : x
  2. Step 2: Convert to fraction form
    187,207/280,810.50 = 55,879/x
  3. Step 3: Cross multiply
    187,207x = 280,810.50 × 55,879
  4. Step 4: Simplify right side
    187,207x = 15,691,409,929.50
  5. Step 5: Solve for x
    x = 15,691,409,929.50/187,207
  6. Step 6: Final answer
    x = 83,818.50

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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.