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Finding the Fourth Proportional to 208,211.94, 287,332.56 and 112,718.64

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Solution

The fourth proportional to 208,211.94, 287,332.56 and 112,718.64 is: 155,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,211.94 : 287,332.56 = 112,718.64 : x
  2. Step 2: Convert to fraction form
    208,211.94/287,332.56 = 112,718.64/x
  3. Step 3: Cross multiply
    208,211.94x = 287,332.56 × 112,718.64
  4. Step 4: Simplify right side
    208,211.94x = 32,387,735,390.92
  5. Step 5: Solve for x
    x = 32,387,735,390.92/208,211.94
  6. Step 6: Final answer
    x = 155,551.77

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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.