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Finding the Fourth Proportional to 61,420.30, 91,959.37 and 31,369.48

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Solution

The fourth proportional to 61,420.30, 91,959.37 and 31,369.48 is: 46,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,420.30 : 91,959.37 = 31,369.48 : x
  2. Step 2: Convert to fraction form
    61,420.30/91,959.37 = 31,369.48/x
  3. Step 3: Cross multiply
    61,420.30x = 91,959.37 × 31,369.48
  4. Step 4: Simplify right side
    61,420.30x = 2,884,717,309.71
  5. Step 5: Solve for x
    x = 2,884,717,309.71/61,420.30
  6. Step 6: Final answer
    x = 46,966.84

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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.