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Finding the Fourth Proportional to 61,312.75, 91,919.04 and 31,739.11

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Solution

The fourth proportional to 61,312.75, 91,919.04 and 31,739.11 is: 47,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,312.75 : 91,919.04 = 31,739.11 : x
  2. Step 2: Convert to fraction form
    61,312.75/91,919.04 = 31,739.11/x
  3. Step 3: Cross multiply
    61,312.75x = 91,919.04 × 31,739.11
  4. Step 4: Simplify right side
    61,312.75x = 2,917,428,521.65
  5. Step 5: Solve for x
    x = 2,917,428,521.65/61,312.75
  6. Step 6: Final answer
    x = 47,582.74

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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.