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Finding the Fourth Proportional to 213,513.66, 320,161.68 and 71,307.78

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Solution

The fourth proportional to 213,513.66, 320,161.68 and 71,307.78 is: 106,925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,513.66 : 320,161.68 = 71,307.78 : x
  2. Step 2: Convert to fraction form
    213,513.66/320,161.68 = 71,307.78/x
  3. Step 3: Cross multiply
    213,513.66x = 320,161.68 × 71,307.78
  4. Step 4: Simplify right side
    213,513.66x = 22,830,018,641.87
  5. Step 5: Solve for x
    x = 22,830,018,641.87/213,513.66
  6. Step 6: Final answer
    x = 106,925.33

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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.