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Finding the Fourth Proportional to 145,462.77, 218,194.20 and 45,631.71

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Solution

The fourth proportional to 145,462.77, 218,194.20 and 45,631.71 is: 68,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,462.77 : 218,194.20 = 45,631.71 : x
  2. Step 2: Convert to fraction form
    145,462.77/218,194.20 = 45,631.71/x
  3. Step 3: Cross multiply
    145,462.77x = 218,194.20 × 45,631.71
  4. Step 4: Simplify right side
    145,462.77x = 9,956,574,458.08
  5. Step 5: Solve for x
    x = 9,956,574,458.08/145,462.77
  6. Step 6: Final answer
    x = 68,447.58

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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.