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Finding the Fourth Proportional to 292,057.40, 438,053.70 and 81,716.60

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Solution

The fourth proportional to 292,057.40, 438,053.70 and 81,716.60 is: 122,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,057.40 : 438,053.70 = 81,716.60 : x
  2. Step 2: Convert to fraction form
    292,057.40/438,053.70 = 81,716.60/x
  3. Step 3: Cross multiply
    292,057.40x = 438,053.70 × 81,716.60
  4. Step 4: Simplify right side
    292,057.40x = 35,796,258,981.42
  5. Step 5: Solve for x
    x = 35,796,258,981.42/292,057.40
  6. Step 6: Final answer
    x = 122,565.83

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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.