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Finding the Fourth Proportional to 205,167.70, 307,051.35 and 171,925.30

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Solution

The fourth proportional to 205,167.70, 307,051.35 and 171,925.30 is: 257,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,167.70 : 307,051.35 = 171,925.30 : x
  2. Step 2: Convert to fraction form
    205,167.70/307,051.35 = 171,925.30/x
  3. Step 3: Cross multiply
    205,167.70x = 307,051.35 × 171,925.30
  4. Step 4: Simplify right side
    205,167.70x = 52,789,895,464.16
  5. Step 5: Solve for x
    x = 52,789,895,464.16/205,167.70
  6. Step 6: Final answer
    x = 257,301.20

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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.