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Finding the Fourth Proportional to 213,166, 319,726.32 and 113,220.10

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Solution

The fourth proportional to 213,166, 319,726.32 and 113,220.10 is: 169,818.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,166 : 319,726.32 = 113,220.10 : x
  2. Step 2: Convert to fraction form
    213,166/319,726.32 = 113,220.10/x
  3. Step 3: Cross multiply
    213,166x = 319,726.32 × 113,220.10
  4. Step 4: Simplify right side
    213,166x = 36,199,445,923.03
  5. Step 5: Solve for x
    x = 36,199,445,923.03/213,166
  6. Step 6: Final answer
    x = 169,818.10

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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.