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Finding the Fourth Proportional to 208,352.42, 287,509.29 and 117,716.25

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Solution

The fourth proportional to 208,352.42, 287,509.29 and 117,716.25 is: 162,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,352.42 : 287,509.29 = 117,716.25 : x
  2. Step 2: Convert to fraction form
    208,352.42/287,509.29 = 117,716.25/x
  3. Step 3: Cross multiply
    208,352.42x = 287,509.29 × 117,716.25
  4. Step 4: Simplify right side
    208,352.42x = 33,844,515,458.96
  5. Step 5: Solve for x
    x = 33,844,515,458.96/208,352.42
  6. Step 6: Final answer
    x = 162,438.80

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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.