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Finding the Fourth Proportional to 208,367.64, 287,545.14 and 117,727.83

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Solution

The fourth proportional to 208,367.64, 287,545.14 and 117,727.83 is: 162,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,367.64 : 287,545.14 = 117,727.83 : x
  2. Step 2: Convert to fraction form
    208,367.64/287,545.14 = 117,727.83/x
  3. Step 3: Cross multiply
    208,367.64x = 287,545.14 × 117,727.83
  4. Step 4: Simplify right side
    208,367.64x = 33,852,065,359.25
  5. Step 5: Solve for x
    x = 33,852,065,359.25/208,367.64
  6. Step 6: Final answer
    x = 162,463.16

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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.