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Finding the Fourth Proportional to 106,441, 146,889.66 and 64,000.24

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Solution

The fourth proportional to 106,441, 146,889.66 and 64,000.24 is: 88,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,441 : 146,889.66 = 64,000.24 : x
  2. Step 2: Convert to fraction form
    106,441/146,889.66 = 64,000.24/x
  3. Step 3: Cross multiply
    106,441x = 146,889.66 × 64,000.24
  4. Step 4: Simplify right side
    106,441x = 9,400,973,493.52
  5. Step 5: Solve for x
    x = 9,400,973,493.52/106,441
  6. Step 6: Final answer
    x = 88,320.98

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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.