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Finding the Fourth Proportional to 65,762.89, 90,731.01 and 37,078.96

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Solution

The fourth proportional to 65,762.89, 90,731.01 and 37,078.96 is: 51,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,762.89 : 90,731.01 = 37,078.96 : x
  2. Step 2: Convert to fraction form
    65,762.89/90,731.01 = 37,078.96/x
  3. Step 3: Cross multiply
    65,762.89x = 90,731.01 × 37,078.96
  4. Step 4: Simplify right side
    65,762.89x = 3,364,211,490.55
  5. Step 5: Solve for x
    x = 3,364,211,490.55/65,762.89
  6. Step 6: Final answer
    x = 51,156.69

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1.5x scale

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.