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Finding the Fourth Proportional to 85,771.59, 128,613.51 and 35,838.06

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Solution

The fourth proportional to 85,771.59, 128,613.51 and 35,838.06 is: 53,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,771.59 : 128,613.51 = 35,838.06 : x
  2. Step 2: Convert to fraction form
    85,771.59/128,613.51 = 35,838.06/x
  3. Step 3: Cross multiply
    85,771.59x = 128,613.51 × 35,838.06
  4. Step 4: Simplify right side
    85,771.59x = 4,609,258,688.19
  5. Step 5: Solve for x
    x = 4,609,258,688.19/85,771.59
  6. Step 6: Final answer
    x = 53,738.76

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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.