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Finding the Fourth Proportional to 208,438.87, 287,646.64 and 112,945.74

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Solution

The fourth proportional to 208,438.87, 287,646.64 and 112,945.74 is: 155,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,438.87 : 287,646.64 = 112,945.74 : x
  2. Step 2: Convert to fraction form
    208,438.87/287,646.64 = 112,945.74/x
  3. Step 3: Cross multiply
    208,438.87x = 287,646.64 × 112,945.74
  4. Step 4: Simplify right side
    208,438.87x = 32,488,462,330.95
  5. Step 5: Solve for x
    x = 32,488,462,330.95/208,438.87
  6. Step 6: Final answer
    x = 155,865.66

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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.