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Finding the Fourth Proportional to 102,742.34, 154,113.79 and 31,662.68

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Solution

The fourth proportional to 102,742.34, 154,113.79 and 31,662.68 is: 47,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,742.34 : 154,113.79 = 31,662.68 : x
  2. Step 2: Convert to fraction form
    102,742.34/154,113.79 = 31,662.68/x
  3. Step 3: Cross multiply
    102,742.34x = 154,113.79 × 31,662.68
  4. Step 4: Simplify right side
    102,742.34x = 4,879,655,692.89
  5. Step 5: Solve for x
    x = 4,879,655,692.89/102,742.34
  6. Step 6: Final answer
    x = 47,494.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.