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Finding the Fourth Proportional to 65,757.60, 90,707.76 and 37,458

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Solution

The fourth proportional to 65,757.60, 90,707.76 and 37,458 is: 51,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,757.60 : 90,707.76 = 37,458 : x
  2. Step 2: Convert to fraction form
    65,757.60/90,707.76 = 37,458/x
  3. Step 3: Cross multiply
    65,757.60x = 90,707.76 × 37,458
  4. Step 4: Simplify right side
    65,757.60x = 3,397,731,274.08
  5. Step 5: Solve for x
    x = 3,397,731,274.08/65,757.60
  6. Step 6: Final answer
    x = 51,670.55

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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.