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Finding the Fourth Proportional to 208,143.80, 287,237.94 and 112,650.57

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Solution

The fourth proportional to 208,143.80, 287,237.94 and 112,650.57 is: 155,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,143.80 : 287,237.94 = 112,650.57 : x
  2. Step 2: Convert to fraction form
    208,143.80/287,237.94 = 112,650.57/x
  3. Step 3: Cross multiply
    208,143.80x = 287,237.94 × 112,650.57
  4. Step 4: Simplify right side
    208,143.80x = 32,357,517,666.63
  5. Step 5: Solve for x
    x = 32,357,517,666.63/208,143.80
  6. Step 6: Final answer
    x = 155,457.51

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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.