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Finding the Fourth Proportional to 165,407.76, 228,264.48 and 89,956.44

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Solution

The fourth proportional to 165,407.76, 228,264.48 and 89,956.44 is: 124,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,407.76 : 228,264.48 = 89,956.44 : x
  2. Step 2: Convert to fraction form
    165,407.76/228,264.48 = 89,956.44/x
  3. Step 3: Cross multiply
    165,407.76x = 228,264.48 × 89,956.44
  4. Step 4: Simplify right side
    165,407.76x = 20,533,859,999.25
  5. Step 5: Solve for x
    x = 20,533,859,999.25/165,407.76
  6. Step 6: Final answer
    x = 124,140.85

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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.