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Finding the Fourth Proportional to 208,438.23, 287,646.08 and 112,945.71

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Solution

The fourth proportional to 208,438.23, 287,646.08 and 112,945.71 is: 155,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,438.23 : 287,646.08 = 112,945.71 : x
  2. Step 2: Convert to fraction form
    208,438.23/287,646.08 = 112,945.71/x
  3. Step 3: Cross multiply
    208,438.23x = 287,646.08 × 112,945.71
  4. Step 4: Simplify right side
    208,438.23x = 32,488,390,169.59
  5. Step 5: Solve for x
    x = 32,488,390,169.59/208,438.23
  6. Step 6: Final answer
    x = 155,865.79

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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.