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Finding the Fourth Proportional to 145,301.84, 217,863.60 and 56,451.62

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Solution

The fourth proportional to 145,301.84, 217,863.60 and 56,451.62 is: 84,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,301.84 : 217,863.60 = 56,451.62 : x
  2. Step 2: Convert to fraction form
    145,301.84/217,863.60 = 56,451.62/x
  3. Step 3: Cross multiply
    145,301.84x = 217,863.60 × 56,451.62
  4. Step 4: Simplify right side
    145,301.84x = 12,298,752,069.71
  5. Step 5: Solve for x
    x = 12,298,752,069.71/145,301.84
  6. Step 6: Final answer
    x = 84,642.79

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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.