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Finding the Fourth Proportional to 85,728.14, 128,529.90 and 35,822.52

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Solution

The fourth proportional to 85,728.14, 128,529.90 and 35,822.52 is: 53,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,728.14 : 128,529.90 = 35,822.52 : x
  2. Step 2: Convert to fraction form
    85,728.14/128,529.90 = 35,822.52/x
  3. Step 3: Cross multiply
    85,728.14x = 128,529.90 × 35,822.52
  4. Step 4: Simplify right side
    85,728.14x = 4,604,264,913.35
  5. Step 5: Solve for x
    x = 4,604,264,913.35/85,728.14
  6. Step 6: Final answer
    x = 53,707.74

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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.