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Finding the Fourth Proportional to 120,685.84, 180,970.30 and 70,782.28

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Solution

The fourth proportional to 120,685.84, 180,970.30 and 70,782.28 is: 106,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,685.84 : 180,970.30 = 70,782.28 : x
  2. Step 2: Convert to fraction form
    120,685.84/180,970.30 = 70,782.28/x
  3. Step 3: Cross multiply
    120,685.84x = 180,970.30 × 70,782.28
  4. Step 4: Simplify right side
    120,685.84x = 12,809,490,446.28
  5. Step 5: Solve for x
    x = 12,809,490,446.28/120,685.84
  6. Step 6: Final answer
    x = 106,139.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.