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Finding the Fourth Proportional to 169,680, 254,477.94 and 57,357.72

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Solution

The fourth proportional to 169,680, 254,477.94 and 57,357.72 is: 86,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,680 : 254,477.94 = 57,357.72 : x
  2. Step 2: Convert to fraction form
    169,680/254,477.94 = 57,357.72/x
  3. Step 3: Cross multiply
    169,680x = 254,477.94 × 57,357.72
  4. Step 4: Simplify right side
    169,680x = 14,596,274,428.70
  5. Step 5: Solve for x
    x = 14,596,274,428.70/169,680
  6. Step 6: Final answer
    x = 86,022.36

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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.