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Finding the Fourth Proportional to 216,971.40, 325,649.10 and 128,113.80

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Solution

The fourth proportional to 216,971.40, 325,649.10 and 128,113.80 is: 192,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,971.40 : 325,649.10 = 128,113.80 : x
  2. Step 2: Convert to fraction form
    216,971.40/325,649.10 = 128,113.80/x
  3. Step 3: Cross multiply
    216,971.40x = 325,649.10 × 128,113.80
  4. Step 4: Simplify right side
    216,971.40x = 41,720,143,667.58
  5. Step 5: Solve for x
    x = 41,720,143,667.58/216,971.40
  6. Step 6: Final answer
    x = 192,284.07

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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.