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Finding the Fourth Proportional to 208,139.32, 287,232.26 and 112,646.01

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Solution

The fourth proportional to 208,139.32, 287,232.26 and 112,646.01 is: 155,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,139.32 : 287,232.26 = 112,646.01 : x
  2. Step 2: Convert to fraction form
    208,139.32/287,232.26 = 112,646.01/x
  3. Step 3: Cross multiply
    208,139.32x = 287,232.26 × 112,646.01
  4. Step 4: Simplify right side
    208,139.32x = 32,355,567,469.05
  5. Step 5: Solve for x
    x = 32,355,567,469.05/208,139.32
  6. Step 6: Final answer
    x = 155,451.49

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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.