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Finding the Fourth Proportional to 165,279.84, 228,085.11 and 89,828.34

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Solution

The fourth proportional to 165,279.84, 228,085.11 and 89,828.34 is: 123,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,279.84 : 228,085.11 = 89,828.34 : x
  2. Step 2: Convert to fraction form
    165,279.84/228,085.11 = 89,828.34/x
  3. Step 3: Cross multiply
    165,279.84x = 228,085.11 × 89,828.34
  4. Step 4: Simplify right side
    165,279.84x = 20,488,506,810.02
  5. Step 5: Solve for x
    x = 20,488,506,810.02/165,279.84
  6. Step 6: Final answer
    x = 123,962.53

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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.