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Finding the Fourth Proportional to 120,855.84, 166,804.72 and 77,220.32

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Solution

The fourth proportional to 120,855.84, 166,804.72 and 77,220.32 is: 106,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,855.84 : 166,804.72 = 77,220.32 : x
  2. Step 2: Convert to fraction form
    120,855.84/166,804.72 = 77,220.32/x
  3. Step 3: Cross multiply
    120,855.84x = 166,804.72 × 77,220.32
  4. Step 4: Simplify right side
    120,855.84x = 12,880,713,855.91
  5. Step 5: Solve for x
    x = 12,880,713,855.91/120,855.84
  6. Step 6: Final answer
    x = 106,579.16

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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.