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Finding the Fourth Proportional to 216,771.36, 299,043.44 and 140,315.12

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Solution

The fourth proportional to 216,771.36, 299,043.44 and 140,315.12 is: 193,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,771.36 : 299,043.44 = 140,315.12 : x
  2. Step 2: Convert to fraction form
    216,771.36/299,043.44 = 140,315.12/x
  3. Step 3: Cross multiply
    216,771.36x = 299,043.44 × 140,315.12
  4. Step 4: Simplify right side
    216,771.36x = 41,960,316,168.81
  5. Step 5: Solve for x
    x = 41,960,316,168.81/216,771.36
  6. Step 6: Final answer
    x = 193,569.46

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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.