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Finding the Fourth Proportional to 77,602.38, 116,405.76 and 21,442.48

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Solution

The fourth proportional to 77,602.38, 116,405.76 and 21,442.48 is: 32,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,602.38 : 116,405.76 = 21,442.48 : x
  2. Step 2: Convert to fraction form
    77,602.38/116,405.76 = 21,442.48/x
  3. Step 3: Cross multiply
    77,602.38x = 116,405.76 × 21,442.48
  4. Step 4: Simplify right side
    77,602.38x = 2,496,028,180.68
  5. Step 5: Solve for x
    x = 2,496,028,180.68/77,602.38
  6. Step 6: Final answer
    x = 32,164.33

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1.5x scale

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.