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Finding the Fourth Proportional to 120,854.67, 166,705.54 and 71,763.01

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Solution

The fourth proportional to 120,854.67, 166,705.54 and 71,763.01 is: 98,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,854.67 : 166,705.54 = 71,763.01 : x
  2. Step 2: Convert to fraction form
    120,854.67/166,705.54 = 71,763.01/x
  3. Step 3: Cross multiply
    120,854.67x = 166,705.54 × 71,763.01
  4. Step 4: Simplify right side
    120,854.67x = 11,963,291,334.08
  5. Step 5: Solve for x
    x = 11,963,291,334.08/120,854.67
  6. Step 6: Final answer
    x = 98,989.07

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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.