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Finding the Fourth Proportional to 149,584, 206,429.80 and 81,602.08

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Solution

The fourth proportional to 149,584, 206,429.80 and 81,602.08 is: 112,612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,584 : 206,429.80 = 81,602.08 : x
  2. Step 2: Convert to fraction form
    149,584/206,429.80 = 81,602.08/x
  3. Step 3: Cross multiply
    149,584x = 206,429.80 × 81,602.08
  4. Step 4: Simplify right side
    149,584x = 16,845,101,053.98
  5. Step 5: Solve for x
    x = 16,845,101,053.98/149,584
  6. Step 6: Final answer
    x = 112,612.99

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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.