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Finding the Fourth Proportional to 154,411, 213,092.94 and 87,341.56

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Solution

The fourth proportional to 154,411, 213,092.94 and 87,341.56 is: 120,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,411 : 213,092.94 = 87,341.56 : x
  2. Step 2: Convert to fraction form
    154,411/213,092.94 = 87,341.56/x
  3. Step 3: Cross multiply
    154,411x = 213,092.94 × 87,341.56
  4. Step 4: Simplify right side
    154,411x = 18,611,869,804.59
  5. Step 5: Solve for x
    x = 18,611,869,804.59/154,411
  6. Step 6: Final answer
    x = 120,534.61

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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.