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Finding the Fourth Proportional to 207,938.10, 311,128.65 and 148,104.90

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Solution

The fourth proportional to 207,938.10, 311,128.65 and 148,104.90 is: 221,602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,938.10 : 311,128.65 = 148,104.90 : x
  2. Step 2: Convert to fraction form
    207,938.10/311,128.65 = 148,104.90/x
  3. Step 3: Cross multiply
    207,938.10x = 311,128.65 × 148,104.90
  4. Step 4: Simplify right side
    207,938.10x = 46,079,677,595.39
  5. Step 5: Solve for x
    x = 46,079,677,595.39/207,938.10
  6. Step 6: Final answer
    x = 221,602.86

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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.