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Finding the Fourth Proportional to 208,242.08, 287,374.24 and 112,748.80

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Solution

The fourth proportional to 208,242.08, 287,374.24 and 112,748.80 is: 155,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,242.08 : 287,374.24 = 112,748.80 : x
  2. Step 2: Convert to fraction form
    208,242.08/287,374.24 = 112,748.80/x
  3. Step 3: Cross multiply
    208,242.08x = 287,374.24 × 112,748.80
  4. Step 4: Simplify right side
    208,242.08x = 32,401,100,710.91
  5. Step 5: Solve for x
    x = 32,401,100,710.91/208,242.08
  6. Step 6: Final answer
    x = 155,593.44

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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.