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Finding the Fourth Proportional to 106,388.64, 159,680.88 and 53,835.12

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Solution

The fourth proportional to 106,388.64, 159,680.88 and 53,835.12 is: 80,802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,388.64 : 159,680.88 = 53,835.12 : x
  2. Step 2: Convert to fraction form
    106,388.64/159,680.88 = 53,835.12/x
  3. Step 3: Cross multiply
    106,388.64x = 159,680.88 × 53,835.12
  4. Step 4: Simplify right side
    106,388.64x = 8,596,439,336.51
  5. Step 5: Solve for x
    x = 8,596,439,336.51/106,388.64
  6. Step 6: Final answer
    x = 80,802.23

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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.