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Finding the Fourth Proportional to 213,377.72, 320,106.26 and 88,728.76

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Solution

The fourth proportional to 213,377.72, 320,106.26 and 88,728.76 is: 133,109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,377.72 : 320,106.26 = 88,728.76 : x
  2. Step 2: Convert to fraction form
    213,377.72/320,106.26 = 88,728.76/x
  3. Step 3: Cross multiply
    213,377.72x = 320,106.26 × 88,728.76
  4. Step 4: Simplify right side
    213,377.72x = 28,402,631,518.04
  5. Step 5: Solve for x
    x = 28,402,631,518.04/213,377.72
  6. Step 6: Final answer
    x = 133,109.64

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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.