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Finding the Fourth Proportional to 216,948.78, 299,419.13 and 130,912.20

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Solution

The fourth proportional to 216,948.78, 299,419.13 and 130,912.20 is: 180,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,948.78 : 299,419.13 = 130,912.20 : x
  2. Step 2: Convert to fraction form
    216,948.78/299,419.13 = 130,912.20/x
  3. Step 3: Cross multiply
    216,948.78x = 299,419.13 × 130,912.20
  4. Step 4: Simplify right side
    216,948.78x = 39,197,617,357.67
  5. Step 5: Solve for x
    x = 39,197,617,357.67/216,948.78
  6. Step 6: Final answer
    x = 180,676.83

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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.