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Finding the Fourth Proportional to 149,498.54, 206,307.15 and 82,430.54

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Solution

The fourth proportional to 149,498.54, 206,307.15 and 82,430.54 is: 113,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,498.54 : 206,307.15 = 82,430.54 : x
  2. Step 2: Convert to fraction form
    149,498.54/206,307.15 = 82,430.54/x
  3. Step 3: Cross multiply
    149,498.54x = 206,307.15 × 82,430.54
  4. Step 4: Simplify right side
    149,498.54x = 17,006,009,780.36
  5. Step 5: Solve for x
    x = 17,006,009,780.36/149,498.54
  6. Step 6: Final answer
    x = 113,753.68

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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.