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Finding the Fourth Proportional to 208,217.84, 287,340.71 and 112,724.55

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Solution

The fourth proportional to 208,217.84, 287,340.71 and 112,724.55 is: 155,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,217.84 : 287,340.71 = 112,724.55 : x
  2. Step 2: Convert to fraction form
    208,217.84/287,340.71 = 112,724.55/x
  3. Step 3: Cross multiply
    208,217.84x = 287,340.71 × 112,724.55
  4. Step 4: Simplify right side
    208,217.84x = 32,390,351,667.81
  5. Step 5: Solve for x
    x = 32,390,351,667.81/208,217.84
  6. Step 6: Final answer
    x = 155,559.93

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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.