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Finding the Fourth Proportional to 146,780, 202,573.68 and 87,164

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Solution

The fourth proportional to 146,780, 202,573.68 and 87,164 is: 120,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,780 : 202,573.68 = 87,164 : x
  2. Step 2: Convert to fraction form
    146,780/202,573.68 = 87,164/x
  3. Step 3: Cross multiply
    146,780x = 202,573.68 × 87,164
  4. Step 4: Simplify right side
    146,780x = 17,657,132,243.52
  5. Step 5: Solve for x
    x = 17,657,132,243.52/146,780
  6. Step 6: Final answer
    x = 120,296.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.