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Finding the Fourth Proportional to 120,970.30, 166,948.36 and 72,574.05

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Solution

The fourth proportional to 120,970.30, 166,948.36 and 72,574.05 is: 100,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,970.30 : 166,948.36 = 72,574.05 : x
  2. Step 2: Convert to fraction form
    120,970.30/166,948.36 = 72,574.05/x
  3. Step 3: Cross multiply
    120,970.30x = 166,948.36 × 72,574.05
  4. Step 4: Simplify right side
    120,970.30x = 12,116,118,626.06
  5. Step 5: Solve for x
    x = 12,116,118,626.06/120,970.30
  6. Step 6: Final answer
    x = 100,157.80

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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.