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Finding the Fourth Proportional to 97,445, 146,172.30 and 31,781

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Solution

The fourth proportional to 97,445, 146,172.30 and 31,781 is: 47,673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,445 : 146,172.30 = 31,781 : x
  2. Step 2: Convert to fraction form
    97,445/146,172.30 = 31,781/x
  3. Step 3: Cross multiply
    97,445x = 146,172.30 × 31,781
  4. Step 4: Simplify right side
    97,445x = 4,645,501,866.30
  5. Step 5: Solve for x
    x = 4,645,501,866.30/97,445
  6. Step 6: Final answer
    x = 47,673.07

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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.