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Finding the Fourth Proportional to 145,624.80, 200,953.68 and 81,960

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Solution

The fourth proportional to 145,624.80, 200,953.68 and 81,960 is: 113,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,624.80 : 200,953.68 = 81,960 : x
  2. Step 2: Convert to fraction form
    145,624.80/200,953.68 = 81,960/x
  3. Step 3: Cross multiply
    145,624.80x = 200,953.68 × 81,960
  4. Step 4: Simplify right side
    145,624.80x = 16,470,163,612.80
  5. Step 5: Solve for x
    x = 16,470,163,612.80/145,624.80
  6. Step 6: Final answer
    x = 113,099.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.