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Finding the Fourth Proportional to 145,410.64, 217,960.44 and 66,406.48

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Solution

The fourth proportional to 145,410.64, 217,960.44 and 66,406.48 is: 99,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,410.64 : 217,960.44 = 66,406.48 : x
  2. Step 2: Convert to fraction form
    145,410.64/217,960.44 = 66,406.48/x
  3. Step 3: Cross multiply
    145,410.64x = 217,960.44 × 66,406.48
  4. Step 4: Simplify right side
    145,410.64x = 14,473,985,599.65
  5. Step 5: Solve for x
    x = 14,473,985,599.65/145,410.64
  6. Step 6: Final answer
    x = 99,538.70

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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.