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Finding the Fourth Proportional to 208,032.52, 287,084.64 and 112,539

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Solution

The fourth proportional to 208,032.52, 287,084.64 and 112,539 is: 155,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,032.52 : 287,084.64 = 112,539 : x
  2. Step 2: Convert to fraction form
    208,032.52/287,084.64 = 112,539/x
  3. Step 3: Cross multiply
    208,032.52x = 287,084.64 × 112,539
  4. Step 4: Simplify right side
    208,032.52x = 32,308,218,300.96
  5. Step 5: Solve for x
    x = 32,308,218,300.96/208,032.52
  6. Step 6: Final answer
    x = 155,303.69

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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.