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Finding the Fourth Proportional to 208,117.49, 287,203.01 and 112,624.18

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Solution

The fourth proportional to 208,117.49, 287,203.01 and 112,624.18 is: 155,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,117.49 : 287,203.01 = 112,624.18 : x
  2. Step 2: Convert to fraction form
    208,117.49/287,203.01 = 112,624.18/x
  3. Step 3: Cross multiply
    208,117.49x = 287,203.01 × 112,624.18
  4. Step 4: Simplify right side
    208,117.49x = 32,346,002,213.65
  5. Step 5: Solve for x
    x = 32,346,002,213.65/208,117.49
  6. Step 6: Final answer
    x = 155,421.84

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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.