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Finding the Fourth Proportional to 208,661.55, 287,953.28 and 113,168.33

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Solution

The fourth proportional to 208,661.55, 287,953.28 and 113,168.33 is: 156,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,661.55 : 287,953.28 = 113,168.33 : x
  2. Step 2: Convert to fraction form
    208,661.55/287,953.28 = 113,168.33/x
  3. Step 3: Cross multiply
    208,661.55x = 287,953.28 × 113,168.33
  4. Step 4: Simplify right side
    208,661.55x = 32,587,189,810.01
  5. Step 5: Solve for x
    x = 32,587,189,810.01/208,661.55
  6. Step 6: Final answer
    x = 156,172.47

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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.