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Finding the Fourth Proportional to 216,762.84, 299,032.92 and 140,306.49

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Solution

The fourth proportional to 216,762.84, 299,032.92 and 140,306.49 is: 193,558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,762.84 : 299,032.92 = 140,306.49 : x
  2. Step 2: Convert to fraction form
    216,762.84/299,032.92 = 140,306.49/x
  3. Step 3: Cross multiply
    216,762.84x = 299,032.92 × 140,306.49
  4. Step 4: Simplify right side
    216,762.84x = 41,956,259,399.65
  5. Step 5: Solve for x
    x = 41,956,259,399.65/216,762.84
  6. Step 6: Final answer
    x = 193,558.36

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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.