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Finding the Fourth Proportional to 177,297.76, 265,868.88 and 66,412

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Solution

The fourth proportional to 177,297.76, 265,868.88 and 66,412 is: 99,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,297.76 : 265,868.88 = 66,412 : x
  2. Step 2: Convert to fraction form
    177,297.76/265,868.88 = 66,412/x
  3. Step 3: Cross multiply
    177,297.76x = 265,868.88 × 66,412
  4. Step 4: Simplify right side
    177,297.76x = 17,656,884,058.56
  5. Step 5: Solve for x
    x = 17,656,884,058.56/177,297.76
  6. Step 6: Final answer
    x = 99,588.87

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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.