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Finding the Fourth Proportional to 65,751.68, 90,735.50 and 37,071.09

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Solution

The fourth proportional to 65,751.68, 90,735.50 and 37,071.09 is: 51,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,751.68 : 90,735.50 = 37,071.09 : x
  2. Step 2: Convert to fraction form
    65,751.68/90,735.50 = 37,071.09/x
  3. Step 3: Cross multiply
    65,751.68x = 90,735.50 × 37,071.09
  4. Step 4: Simplify right side
    65,751.68x = 3,363,663,690.91
  5. Step 5: Solve for x
    x = 3,363,663,690.91/65,751.68
  6. Step 6: Final answer
    x = 51,157.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.