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Finding the Fourth Proportional to 102,476.50, 153,737.46 and 31,408.96

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Solution

The fourth proportional to 102,476.50, 153,737.46 and 31,408.96 is: 47,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,476.50 : 153,737.46 = 31,408.96 : x
  2. Step 2: Convert to fraction form
    102,476.50/153,737.46 = 31,408.96/x
  3. Step 3: Cross multiply
    102,476.50x = 153,737.46 × 31,408.96
  4. Step 4: Simplify right side
    102,476.50x = 4,828,733,731.64
  5. Step 5: Solve for x
    x = 4,828,733,731.64/102,476.50
  6. Step 6: Final answer
    x = 47,120.40

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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.