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Finding the Fourth Proportional to 208,280.10, 287,426.47 and 112,786.77

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Solution

The fourth proportional to 208,280.10, 287,426.47 and 112,786.77 is: 155,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,280.10 : 287,426.47 = 112,786.77 : x
  2. Step 2: Convert to fraction form
    208,280.10/287,426.47 = 112,786.77/x
  3. Step 3: Cross multiply
    208,280.10x = 287,426.47 × 112,786.77
  4. Step 4: Simplify right side
    208,280.10x = 32,417,903,163.80
  5. Step 5: Solve for x
    x = 32,417,903,163.80/208,280.10
  6. Step 6: Final answer
    x = 155,645.71

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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.