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Finding the Fourth Proportional to 57,730.70, 86,515.05 and 45,904.70

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Solution

The fourth proportional to 57,730.70, 86,515.05 and 45,904.70 is: 68,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,730.70 : 86,515.05 = 45,904.70 : x
  2. Step 2: Convert to fraction form
    57,730.70/86,515.05 = 45,904.70/x
  3. Step 3: Cross multiply
    57,730.70x = 86,515.05 × 45,904.70
  4. Step 4: Simplify right side
    57,730.70x = 3,971,447,415.74
  5. Step 5: Solve for x
    x = 3,971,447,415.74/57,730.70
  6. Step 6: Final answer
    x = 68,792.64

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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.