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Finding the Fourth Proportional to 102,479.50, 153,741.96 and 31,411.96

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Solution

The fourth proportional to 102,479.50, 153,741.96 and 31,411.96 is: 47,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,479.50 : 153,741.96 = 31,411.96 : x
  2. Step 2: Convert to fraction form
    102,479.50/153,741.96 = 31,411.96/x
  3. Step 3: Cross multiply
    102,479.50x = 153,741.96 × 31,411.96
  4. Step 4: Simplify right side
    102,479.50x = 4,829,336,297.84
  5. Step 5: Solve for x
    x = 4,829,336,297.84/102,479.50
  6. Step 6: Final answer
    x = 47,124.90

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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.