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Finding the Fourth Proportional to 120,159.83, 165,823.40 and 66,445.89

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Solution

The fourth proportional to 120,159.83, 165,823.40 and 66,445.89 is: 91,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,159.83 : 165,823.40 = 66,445.89 : x
  2. Step 2: Convert to fraction form
    120,159.83/165,823.40 = 66,445.89/x
  3. Step 3: Cross multiply
    120,159.83x = 165,823.40 × 66,445.89
  4. Step 4: Simplify right side
    120,159.83x = 11,018,283,063.60
  5. Step 5: Solve for x
    x = 11,018,283,063.60/120,159.83
  6. Step 6: Final answer
    x = 91,696.90

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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.