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Finding the Fourth Proportional to 61,071.81, 91,656.90 and 31,498.11

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Solution

The fourth proportional to 61,071.81, 91,656.90 and 31,498.11 is: 47,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,071.81 : 91,656.90 = 31,498.11 : x
  2. Step 2: Convert to fraction form
    61,071.81/91,656.90 = 31,498.11/x
  3. Step 3: Cross multiply
    61,071.81x = 91,656.90 × 31,498.11
  4. Step 4: Simplify right side
    61,071.81x = 2,887,019,118.46
  5. Step 5: Solve for x
    x = 2,887,019,118.46/61,071.81
  6. Step 6: Final answer
    x = 47,272.53

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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.