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Finding the Fourth Proportional to 154,530.69, 213,215.80 and 87,462.69

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Solution

The fourth proportional to 154,530.69, 213,215.80 and 87,462.69 is: 120,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,530.69 : 213,215.80 = 87,462.69 : x
  2. Step 2: Convert to fraction form
    154,530.69/213,215.80 = 87,462.69/x
  3. Step 3: Cross multiply
    154,530.69x = 213,215.80 × 87,462.69
  4. Step 4: Simplify right side
    154,530.69x = 18,648,427,418.50
  5. Step 5: Solve for x
    x = 18,648,427,418.50/154,530.69
  6. Step 6: Final answer
    x = 120,677.82

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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.