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Finding the Fourth Proportional to 97,444, 146,170.80 and 31,780

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Solution

The fourth proportional to 97,444, 146,170.80 and 31,780 is: 47,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,444 : 146,170.80 = 31,780 : x
  2. Step 2: Convert to fraction form
    97,444/146,170.80 = 31,780/x
  3. Step 3: Cross multiply
    97,444x = 146,170.80 × 31,780
  4. Step 4: Simplify right side
    97,444x = 4,645,308,024
  5. Step 5: Solve for x
    x = 4,645,308,024/97,444
  6. Step 6: Final answer
    x = 47,671.57

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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.