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Finding the Fourth Proportional to 257,583.64, 355,156.50 and 166,906.51

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Solution

The fourth proportional to 257,583.64, 355,156.50 and 166,906.51 is: 230,130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,583.64 : 355,156.50 = 166,906.51 : x
  2. Step 2: Convert to fraction form
    257,583.64/355,156.50 = 166,906.51/x
  3. Step 3: Cross multiply
    257,583.64x = 355,156.50 × 166,906.51
  4. Step 4: Simplify right side
    257,583.64x = 59,277,931,918.82
  5. Step 5: Solve for x
    x = 59,277,931,918.82/257,583.64
  6. Step 6: Final answer
    x = 230,130.81

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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.