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Finding the Fourth Proportional to 216,643.09, 298,866.71 and 140,186.89

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Solution

The fourth proportional to 216,643.09, 298,866.71 and 140,186.89 is: 193,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,643.09 : 298,866.71 = 140,186.89 : x
  2. Step 2: Convert to fraction form
    216,643.09/298,866.71 = 140,186.89/x
  3. Step 3: Cross multiply
    216,643.09x = 298,866.71 × 140,186.89
  4. Step 4: Simplify right side
    216,643.09x = 41,897,195,959.92
  5. Step 5: Solve for x
    x = 41,897,195,959.92/216,643.09
  6. Step 6: Final answer
    x = 193,392.72

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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.