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Finding the Fourth Proportional to 208,841.19, 288,201.13 and 113,347.90

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Solution

The fourth proportional to 208,841.19, 288,201.13 and 113,347.90 is: 156,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,841.19 : 288,201.13 = 113,347.90 : x
  2. Step 2: Convert to fraction form
    208,841.19/288,201.13 = 113,347.90/x
  3. Step 3: Cross multiply
    208,841.19x = 288,201.13 × 113,347.90
  4. Step 4: Simplify right side
    208,841.19x = 32,666,992,296.39
  5. Step 5: Solve for x
    x = 32,666,992,296.39/208,841.19
  6. Step 6: Final answer
    x = 156,420.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.