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Finding the Fourth Proportional to 82,570.80, 113,994.99 and 54,358.50

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Solution

The fourth proportional to 82,570.80, 113,994.99 and 54,358.50 is: 75,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,570.80 : 113,994.99 = 54,358.50 : x
  2. Step 2: Convert to fraction form
    82,570.80/113,994.99 = 54,358.50/x
  3. Step 3: Cross multiply
    82,570.80x = 113,994.99 × 54,358.50
  4. Step 4: Simplify right side
    82,570.80x = 6,196,596,663.92
  5. Step 5: Solve for x
    x = 6,196,596,663.92/82,570.80
  6. Step 6: Final answer
    x = 75,045.86

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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.