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Finding the Fourth Proportional to 208,124.87, 287,212.32 and 112,631.57

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Solution

The fourth proportional to 208,124.87, 287,212.32 and 112,631.57 is: 155,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,124.87 : 287,212.32 = 112,631.57 : x
  2. Step 2: Convert to fraction form
    208,124.87/287,212.32 = 112,631.57/x
  3. Step 3: Cross multiply
    208,124.87x = 287,212.32 × 112,631.57
  4. Step 4: Simplify right side
    208,124.87x = 32,349,174,524.94
  5. Step 5: Solve for x
    x = 32,349,174,524.94/208,124.87
  6. Step 6: Final answer
    x = 155,431.57

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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.