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Finding the Fourth Proportional to 213,041.80, 319,409.10 and 139,211.40

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Solution

The fourth proportional to 213,041.80, 319,409.10 and 139,211.40 is: 208,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,041.80 : 319,409.10 = 139,211.40 : x
  2. Step 2: Convert to fraction form
    213,041.80/319,409.10 = 139,211.40/x
  3. Step 3: Cross multiply
    213,041.80x = 319,409.10 × 139,211.40
  4. Step 4: Simplify right side
    213,041.80x = 44,465,387,983.74
  5. Step 5: Solve for x
    x = 44,465,387,983.74/213,041.80
  6. Step 6: Final answer
    x = 208,716.73

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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.