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Finding the Fourth Proportional to 165,525, 228,424.50 and 90,074.04

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Solution

The fourth proportional to 165,525, 228,424.50 and 90,074.04 is: 124,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,525 : 228,424.50 = 90,074.04 : x
  2. Step 2: Convert to fraction form
    165,525/228,424.50 = 90,074.04/x
  3. Step 3: Cross multiply
    165,525x = 228,424.50 × 90,074.04
  4. Step 4: Simplify right side
    165,525x = 20,575,117,549.98
  5. Step 5: Solve for x
    x = 20,575,117,549.98/165,525
  6. Step 6: Final answer
    x = 124,302.18

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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.