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Finding the Fourth Proportional to 172,946.34, 257,700.31 and 154,081.44

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Solution

The fourth proportional to 172,946.34, 257,700.31 and 154,081.44 is: 229,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,946.34 : 257,700.31 = 154,081.44 : x
  2. Step 2: Convert to fraction form
    172,946.34/257,700.31 = 154,081.44/x
  3. Step 3: Cross multiply
    172,946.34x = 257,700.31 × 154,081.44
  4. Step 4: Simplify right side
    172,946.34x = 39,706,834,853.25
  5. Step 5: Solve for x
    x = 39,706,834,853.25/172,946.34
  6. Step 6: Final answer
    x = 229,590.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.