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Finding the Fourth Proportional to 145,144.98, 217,731.24 and 56,405.34

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Solution

The fourth proportional to 145,144.98, 217,731.24 and 56,405.34 is: 84,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,144.98 : 217,731.24 = 56,405.34 : x
  2. Step 2: Convert to fraction form
    145,144.98/217,731.24 = 56,405.34/x
  3. Step 3: Cross multiply
    145,144.98x = 217,731.24 × 56,405.34
  4. Step 4: Simplify right side
    145,144.98x = 12,281,204,620.82
  5. Step 5: Solve for x
    x = 12,281,204,620.82/145,144.98
  6. Step 6: Final answer
    x = 84,613.36

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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.