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Finding the Fourth Proportional to 61,316, 91,923.91 and 31,742.36

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Solution

The fourth proportional to 61,316, 91,923.91 and 31,742.36 is: 47,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,316 : 91,923.91 = 31,742.36 : x
  2. Step 2: Convert to fraction form
    61,316/91,923.91 = 31,742.36/x
  3. Step 3: Cross multiply
    61,316x = 91,923.91 × 31,742.36
  4. Step 4: Simplify right side
    61,316x = 2,917,881,843.83
  5. Step 5: Solve for x
    x = 2,917,881,843.83/61,316
  6. Step 6: Final answer
    x = 47,587.61

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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.