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Finding the Fourth Proportional to 145,406.64, 217,954.44 and 66,402.48

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Solution

The fourth proportional to 145,406.64, 217,954.44 and 66,402.48 is: 99,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,406.64 : 217,954.44 = 66,402.48 : x
  2. Step 2: Convert to fraction form
    145,406.64/217,954.44 = 66,402.48/x
  3. Step 3: Cross multiply
    145,406.64x = 217,954.44 × 66,402.48
  4. Step 4: Simplify right side
    145,406.64x = 14,472,715,343.01
  5. Step 5: Solve for x
    x = 14,472,715,343.01/145,406.64
  6. Step 6: Final answer
    x = 99,532.70

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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.