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Finding the Fourth Proportional to 208,777.08, 288,112.32 and 113,283.78

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Solution

The fourth proportional to 208,777.08, 288,112.32 and 113,283.78 is: 156,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,777.08 : 288,112.32 = 113,283.78 : x
  2. Step 2: Convert to fraction form
    208,777.08/288,112.32 = 113,283.78/x
  3. Step 3: Cross multiply
    208,777.08x = 288,112.32 × 113,283.78
  4. Step 4: Simplify right side
    208,777.08x = 32,638,452,674.17
  5. Step 5: Solve for x
    x = 32,638,452,674.17/208,777.08
  6. Step 6: Final answer
    x = 156,331.59

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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.