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Finding the Fourth Proportional to 216,643.31, 298,867.02 and 140,187.11

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Solution

The fourth proportional to 216,643.31, 298,867.02 and 140,187.11 is: 193,393.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,643.31 : 298,867.02 = 140,187.11 : x
  2. Step 2: Convert to fraction form
    216,643.31/298,867.02 = 140,187.11/x
  3. Step 3: Cross multiply
    216,643.31x = 298,867.02 × 140,187.11
  4. Step 4: Simplify right side
    216,643.31x = 41,897,303,854.34
  5. Step 5: Solve for x
    x = 41,897,303,854.34/216,643.31
  6. Step 6: Final answer
    x = 193,393.02

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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.