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Finding the Fourth Proportional to 187,205, 280,807.50 and 55,877

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Solution

The fourth proportional to 187,205, 280,807.50 and 55,877 is: 83,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,205 : 280,807.50 = 55,877 : x
  2. Step 2: Convert to fraction form
    187,205/280,807.50 = 55,877/x
  3. Step 3: Cross multiply
    187,205x = 280,807.50 × 55,877
  4. Step 4: Simplify right side
    187,205x = 15,690,680,677.50
  5. Step 5: Solve for x
    x = 15,690,680,677.50/187,205
  6. Step 6: Final answer
    x = 83,815.50

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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.