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Finding the Fourth Proportional to 120,009.71, 165,606.56 and 71,666.21

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Solution

The fourth proportional to 120,009.71, 165,606.56 and 71,666.21 is: 98,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,009.71 : 165,606.56 = 71,666.21 : x
  2. Step 2: Convert to fraction form
    120,009.71/165,606.56 = 71,666.21/x
  3. Step 3: Cross multiply
    120,009.71x = 165,606.56 × 71,666.21
  4. Step 4: Simplify right side
    120,009.71x = 11,868,394,830.77
  5. Step 5: Solve for x
    x = 11,868,394,830.77/120,009.71
  6. Step 6: Final answer
    x = 98,895.29

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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.