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Finding the Fourth Proportional to 208,142.80, 287,236.56 and 112,649.57

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Solution

The fourth proportional to 208,142.80, 287,236.56 and 112,649.57 is: 155,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142.80 : 287,236.56 = 112,649.57 : x
  2. Step 2: Convert to fraction form
    208,142.80/287,236.56 = 112,649.57/x
  3. Step 3: Cross multiply
    208,142.80x = 287,236.56 × 112,649.57
  4. Step 4: Simplify right side
    208,142.80x = 32,357,075,035.67
  5. Step 5: Solve for x
    x = 32,357,075,035.67/208,142.80
  6. Step 6: Final answer
    x = 155,456.14

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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.