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Finding the Fourth Proportional to 61,038.54, 91,484 and 31,440.23

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Solution

The fourth proportional to 61,038.54, 91,484 and 31,440.23 is: 47,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,038.54 : 91,484 = 31,440.23 : x
  2. Step 2: Convert to fraction form
    61,038.54/91,484 = 31,440.23/x
  3. Step 3: Cross multiply
    61,038.54x = 91,484 × 31,440.23
  4. Step 4: Simplify right side
    61,038.54x = 2,876,278,001.32
  5. Step 5: Solve for x
    x = 2,876,278,001.32/61,038.54
  6. Step 6: Final answer
    x = 47,122.33

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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.