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Finding the Fourth Proportional to 213,146.66, 319,650.77 and 70,953.74

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Solution

The fourth proportional to 213,146.66, 319,650.77 and 70,953.74 is: 106,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,146.66 : 319,650.77 = 70,953.74 : x
  2. Step 2: Convert to fraction form
    213,146.66/319,650.77 = 70,953.74/x
  3. Step 3: Cross multiply
    213,146.66x = 319,650.77 × 70,953.74
  4. Step 4: Simplify right side
    213,146.66x = 22,680,417,625.38
  5. Step 5: Solve for x
    x = 22,680,417,625.38/213,146.66
  6. Step 6: Final answer
    x = 106,407.57

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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.