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Finding the Fourth Proportional to 149,309.52, 206,011.80 and 84,764.76

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Solution

The fourth proportional to 149,309.52, 206,011.80 and 84,764.76 is: 116,955.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,309.52 : 206,011.80 = 84,764.76 : x
  2. Step 2: Convert to fraction form
    149,309.52/206,011.80 = 84,764.76/x
  3. Step 3: Cross multiply
    149,309.52x = 206,011.80 × 84,764.76
  4. Step 4: Simplify right side
    149,309.52x = 17,462,540,784.17
  5. Step 5: Solve for x
    x = 17,462,540,784.17/149,309.52
  6. Step 6: Final answer
    x = 116,955.31

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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.