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Finding the Fourth Proportional to 164,193.81, 245,921.64 and 99,978.02

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Solution

The fourth proportional to 164,193.81, 245,921.64 and 99,978.02 is: 149,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,193.81 : 245,921.64 = 99,978.02 : x
  2. Step 2: Convert to fraction form
    164,193.81/245,921.64 = 99,978.02/x
  3. Step 3: Cross multiply
    164,193.81x = 245,921.64 × 99,978.02
  4. Step 4: Simplify right side
    164,193.81x = 24,586,758,642.35
  5. Step 5: Solve for x
    x = 24,586,758,642.35/164,193.81
  6. Step 6: Final answer
    x = 149,742.30

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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.