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Finding the Fourth Proportional to 208,117.82, 287,203.32 and 112,624.49

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Solution

The fourth proportional to 208,117.82, 287,203.32 and 112,624.49 is: 155,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,117.82 : 287,203.32 = 112,624.49 : x
  2. Step 2: Convert to fraction form
    208,117.82/287,203.32 = 112,624.49/x
  3. Step 3: Cross multiply
    208,117.82x = 287,203.32 × 112,624.49
  4. Step 4: Simplify right side
    208,117.82x = 32,346,127,441.31
  5. Step 5: Solve for x
    x = 32,346,127,441.31/208,117.82
  6. Step 6: Final answer
    x = 155,422.19

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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.