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Finding the Fourth Proportional to 213,247.47, 319,920.42 and 113,503.87

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Solution

The fourth proportional to 213,247.47, 319,920.42 and 113,503.87 is: 170,282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,247.47 : 319,920.42 = 113,503.87 : x
  2. Step 2: Convert to fraction form
    213,247.47/319,920.42 = 113,503.87/x
  3. Step 3: Cross multiply
    213,247.47x = 319,920.42 × 113,503.87
  4. Step 4: Simplify right side
    213,247.47x = 36,312,205,762.03
  5. Step 5: Solve for x
    x = 36,312,205,762.03/213,247.47
  6. Step 6: Final answer
    x = 170,282.00

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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.