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Finding the Fourth Proportional to 208,397.72, 287,588.46 and 112,907

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Solution

The fourth proportional to 208,397.72, 287,588.46 and 112,907 is: 155,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,397.72 : 287,588.46 = 112,907 : x
  2. Step 2: Convert to fraction form
    208,397.72/287,588.46 = 112,907/x
  3. Step 3: Cross multiply
    208,397.72x = 287,588.46 × 112,907
  4. Step 4: Simplify right side
    208,397.72x = 32,470,750,253.22
  5. Step 5: Solve for x
    x = 32,470,750,253.22/208,397.72
  6. Step 6: Final answer
    x = 155,811.45

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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.