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Finding the Fourth Proportional to 102,161.70, 153,302.58 and 42,992.82

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Solution

The fourth proportional to 102,161.70, 153,302.58 and 42,992.82 is: 64,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,161.70 : 153,302.58 = 42,992.82 : x
  2. Step 2: Convert to fraction form
    102,161.70/153,302.58 = 42,992.82/x
  3. Step 3: Cross multiply
    102,161.70x = 153,302.58 × 42,992.82
  4. Step 4: Simplify right side
    102,161.70x = 6,590,910,227.48
  5. Step 5: Solve for x
    x = 6,590,910,227.48/102,161.70
  6. Step 6: Final answer
    x = 64,514.49

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1.5x scale

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.