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Finding the Fourth Proportional to 243,700.56, 365,580 and 85,896.36

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Solution

The fourth proportional to 243,700.56, 365,580 and 85,896.36 is: 128,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,700.56 : 365,580 = 85,896.36 : x
  2. Step 2: Convert to fraction form
    243,700.56/365,580 = 85,896.36/x
  3. Step 3: Cross multiply
    243,700.56x = 365,580 × 85,896.36
  4. Step 4: Simplify right side
    243,700.56x = 31,401,991,288.80
  5. Step 5: Solve for x
    x = 31,401,991,288.80/243,700.56
  6. Step 6: Final answer
    x = 128,854.82

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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.