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Finding the Fourth Proportional to 146,978.63, 202,867.23 and 90,357.20

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Solution

The fourth proportional to 146,978.63, 202,867.23 and 90,357.20 is: 124,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,978.63 : 202,867.23 = 90,357.20 : x
  2. Step 2: Convert to fraction form
    146,978.63/202,867.23 = 90,357.20/x
  3. Step 3: Cross multiply
    146,978.63x = 202,867.23 × 90,357.20
  4. Step 4: Simplify right side
    146,978.63x = 18,330,513,860.22
  5. Step 5: Solve for x
    x = 18,330,513,860.22/146,978.63
  6. Step 6: Final answer
    x = 124,715.51

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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.