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Finding the Fourth Proportional to 106,407.36, 159,648.64 and 66,920.32

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Solution

The fourth proportional to 106,407.36, 159,648.64 and 66,920.32 is: 100,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,407.36 : 159,648.64 = 66,920.32 : x
  2. Step 2: Convert to fraction form
    106,407.36/159,648.64 = 66,920.32/x
  3. Step 3: Cross multiply
    106,407.36x = 159,648.64 × 66,920.32
  4. Step 4: Simplify right side
    106,407.36x = 10,683,738,076.36
  5. Step 5: Solve for x
    x = 10,683,738,076.36/106,407.36
  6. Step 6: Final answer
    x = 100,404.13

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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.