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Finding the Fourth Proportional to 208,156.47, 287,256.24 and 112,663.14

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Solution

The fourth proportional to 208,156.47, 287,256.24 and 112,663.14 is: 155,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,156.47 : 287,256.24 = 112,663.14 : x
  2. Step 2: Convert to fraction form
    208,156.47/287,256.24 = 112,663.14/x
  3. Step 3: Cross multiply
    208,156.47x = 287,256.24 × 112,663.14
  4. Step 4: Simplify right side
    208,156.47x = 32,363,189,982.99
  5. Step 5: Solve for x
    x = 32,363,189,982.99/208,156.47
  6. Step 6: Final answer
    x = 155,475.30

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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.