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Finding the Fourth Proportional to 134,833.58, 186,070.90 and 74,406

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Solution

The fourth proportional to 134,833.58, 186,070.90 and 74,406 is: 102,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,833.58 : 186,070.90 = 74,406 : x
  2. Step 2: Convert to fraction form
    134,833.58/186,070.90 = 74,406/x
  3. Step 3: Cross multiply
    134,833.58x = 186,070.90 × 74,406
  4. Step 4: Simplify right side
    134,833.58x = 13,844,791,385.40
  5. Step 5: Solve for x
    x = 13,844,791,385.40/134,833.58
  6. Step 6: Final answer
    x = 102,680.59

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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.