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Finding the Fourth Proportional to 151,289.92, 208,775.52 and 83,307.04

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Solution

The fourth proportional to 151,289.92, 208,775.52 and 83,307.04 is: 114,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,289.92 : 208,775.52 = 83,307.04 : x
  2. Step 2: Convert to fraction form
    151,289.92/208,775.52 = 83,307.04/x
  3. Step 3: Cross multiply
    151,289.92x = 208,775.52 × 83,307.04
  4. Step 4: Simplify right side
    151,289.92x = 17,392,470,595.66
  5. Step 5: Solve for x
    x = 17,392,470,595.66/151,289.92
  6. Step 6: Final answer
    x = 114,961.20

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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.