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Finding the Fourth Proportional to 145,150.34, 217,739.21 and 56,410.65

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Solution

The fourth proportional to 145,150.34, 217,739.21 and 56,410.65 is: 84,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,150.34 : 217,739.21 = 56,410.65 : x
  2. Step 2: Convert to fraction form
    145,150.34/217,739.21 = 56,410.65/x
  3. Step 3: Cross multiply
    145,150.34x = 217,739.21 × 56,410.65
  4. Step 4: Simplify right side
    145,150.34x = 12,282,810,084.53
  5. Step 5: Solve for x
    x = 12,282,810,084.53/145,150.34
  6. Step 6: Final answer
    x = 84,621.30

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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.