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Finding the Fourth Proportional to 61,148.35, 91,731.64 and 21,702.16

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Solution

The fourth proportional to 61,148.35, 91,731.64 and 21,702.16 is: 32,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,148.35 : 91,731.64 = 21,702.16 : x
  2. Step 2: Convert to fraction form
    61,148.35/91,731.64 = 21,702.16/x
  3. Step 3: Cross multiply
    61,148.35x = 91,731.64 × 21,702.16
  4. Step 4: Simplify right side
    61,148.35x = 1,990,774,674.09
  5. Step 5: Solve for x
    x = 1,990,774,674.09/61,148.35
  6. Step 6: Final answer
    x = 32,556.47

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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.