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Finding the Fourth Proportional to 151,385.76, 208,921.68 and 84,317.76

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Solution

The fourth proportional to 151,385.76, 208,921.68 and 84,317.76 is: 116,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,385.76 : 208,921.68 = 84,317.76 : x
  2. Step 2: Convert to fraction form
    151,385.76/208,921.68 = 84,317.76/x
  3. Step 3: Cross multiply
    151,385.76x = 208,921.68 × 84,317.76
  4. Step 4: Simplify right side
    151,385.76x = 17,615,808,073.04
  5. Step 5: Solve for x
    x = 17,615,808,073.04/151,385.76
  6. Step 6: Final answer
    x = 116,363.71

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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.