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Finding the Fourth Proportional to 85,718.70, 128,598.58 and 35,771.02

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Solution

The fourth proportional to 85,718.70, 128,598.58 and 35,771.02 is: 53,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,718.70 : 128,598.58 = 35,771.02 : x
  2. Step 2: Convert to fraction form
    85,718.70/128,598.58 = 35,771.02/x
  3. Step 3: Cross multiply
    85,718.70x = 128,598.58 × 35,771.02
  4. Step 4: Simplify right side
    85,718.70x = 4,600,102,377.15
  5. Step 5: Solve for x
    x = 4,600,102,377.15/85,718.70
  6. Step 6: Final answer
    x = 53,665.10

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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.