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Finding the Fourth Proportional to 145,141.56, 217,720.44 and 45,315.54

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Solution

The fourth proportional to 145,141.56, 217,720.44 and 45,315.54 is: 67,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,141.56 : 217,720.44 = 45,315.54 : x
  2. Step 2: Convert to fraction form
    145,141.56/217,720.44 = 45,315.54/x
  3. Step 3: Cross multiply
    145,141.56x = 217,720.44 × 45,315.54
  4. Step 4: Simplify right side
    145,141.56x = 9,866,119,307.64
  5. Step 5: Solve for x
    x = 9,866,119,307.64/145,141.56
  6. Step 6: Final answer
    x = 67,975.84

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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.