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Finding the Fourth Proportional to 120,859.84, 166,810.24 and 77,224.32

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Solution

The fourth proportional to 120,859.84, 166,810.24 and 77,224.32 is: 106,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,859.84 : 166,810.24 = 77,224.32 : x
  2. Step 2: Convert to fraction form
    120,859.84/166,810.24 = 77,224.32/x
  3. Step 3: Cross multiply
    120,859.84x = 166,810.24 × 77,224.32
  4. Step 4: Simplify right side
    120,859.84x = 12,881,807,353.04
  5. Step 5: Solve for x
    x = 12,881,807,353.04/120,859.84
  6. Step 6: Final answer
    x = 106,584.68

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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.