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Finding the Fourth Proportional to 243,219.16, 364,810.74 and 85,449.16

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Solution

The fourth proportional to 243,219.16, 364,810.74 and 85,449.16 is: 128,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,219.16 : 364,810.74 = 85,449.16 : x
  2. Step 2: Convert to fraction form
    243,219.16/364,810.74 = 85,449.16/x
  3. Step 3: Cross multiply
    243,219.16x = 364,810.74 × 85,449.16
  4. Step 4: Simplify right side
    243,219.16x = 31,172,771,291.98
  5. Step 5: Solve for x
    x = 31,172,771,291.98/243,219.16
  6. Step 6: Final answer
    x = 128,167.42

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1.5x scale

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.