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Finding the Fourth Proportional to 207,177, 285,912.80 and 116,537.20

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Solution

The fourth proportional to 207,177, 285,912.80 and 116,537.20 is: 160,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,177 : 285,912.80 = 116,537.20 : x
  2. Step 2: Convert to fraction form
    207,177/285,912.80 = 116,537.20/x
  3. Step 3: Cross multiply
    207,177x = 285,912.80 × 116,537.20
  4. Step 4: Simplify right side
    207,177x = 33,319,477,156.16
  5. Step 5: Solve for x
    x = 33,319,477,156.16/207,177
  6. Step 6: Final answer
    x = 160,826.14

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1.5x scale

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.