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Finding the Fourth Proportional to 208,789.84, 288,009.48 and 133,253.20

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Solution

The fourth proportional to 208,789.84, 288,009.48 and 133,253.20 is: 183,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,789.84 : 288,009.48 = 133,253.20 : x
  2. Step 2: Convert to fraction form
    208,789.84/288,009.48 = 133,253.20/x
  3. Step 3: Cross multiply
    208,789.84x = 288,009.48 × 133,253.20
  4. Step 4: Simplify right side
    208,789.84x = 38,378,184,840.34
  5. Step 5: Solve for x
    x = 38,378,184,840.34/208,789.84
  6. Step 6: Final answer
    x = 183,812.51

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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.