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Finding the Fourth Proportional to 120,970.43, 166,948.54 and 72,574.18

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Solution

The fourth proportional to 120,970.43, 166,948.54 and 72,574.18 is: 100,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,970.43 : 166,948.54 = 72,574.18 : x
  2. Step 2: Convert to fraction form
    120,970.43/166,948.54 = 72,574.18/x
  3. Step 3: Cross multiply
    120,970.43x = 166,948.54 × 72,574.18
  4. Step 4: Simplify right side
    120,970.43x = 12,116,152,195.08
  5. Step 5: Solve for x
    x = 12,116,152,195.08/120,970.43
  6. Step 6: Final answer
    x = 100,157.97

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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.