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Finding the Fourth Proportional to 165,521, 228,418.98 and 90,070.04

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Solution

The fourth proportional to 165,521, 228,418.98 and 90,070.04 is: 124,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,521 : 228,418.98 = 90,070.04 : x
  2. Step 2: Convert to fraction form
    165,521/228,418.98 = 90,070.04/x
  3. Step 3: Cross multiply
    165,521x = 228,418.98 × 90,070.04
  4. Step 4: Simplify right side
    165,521x = 20,573,706,665.36
  5. Step 5: Solve for x
    x = 20,573,706,665.36/165,521
  6. Step 6: Final answer
    x = 124,296.66

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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.