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Finding the Fourth Proportional to 186,972, 280,458 and 55,644

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Solution

The fourth proportional to 186,972, 280,458 and 55,644 is: 83,466

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,972 : 280,458 = 55,644 : x
  2. Step 2: Convert to fraction form
    186,972/280,458 = 55,644/x
  3. Step 3: Cross multiply
    186,972x = 280,458 × 55,644
  4. Step 4: Simplify right side
    186,972x = 15,605,804,952
  5. Step 5: Solve for x
    x = 15,605,804,952/186,972
  6. Step 6: Final answer
    x = 83,466

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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.