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Finding the Fourth Proportional to 212,894.52, 319,341.76 and 119,407.56

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Solution

The fourth proportional to 212,894.52, 319,341.76 and 119,407.56 is: 179,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,894.52 : 319,341.76 = 119,407.56 : x
  2. Step 2: Convert to fraction form
    212,894.52/319,341.76 = 119,407.56/x
  3. Step 3: Cross multiply
    212,894.52x = 319,341.76 × 119,407.56
  4. Step 4: Simplify right side
    212,894.52x = 38,131,820,367.71
  5. Step 5: Solve for x
    x = 38,131,820,367.71/212,894.52
  6. Step 6: Final answer
    x = 179,111.33

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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.