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Finding the Fourth Proportional to 113,590, 170,406.87 and 51,260.50

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Solution

The fourth proportional to 113,590, 170,406.87 and 51,260.50 is: 76,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,590 : 170,406.87 = 51,260.50 : x
  2. Step 2: Convert to fraction form
    113,590/170,406.87 = 51,260.50/x
  3. Step 3: Cross multiply
    113,590x = 170,406.87 × 51,260.50
  4. Step 4: Simplify right side
    113,590x = 8,735,141,359.64
  5. Step 5: Solve for x
    x = 8,735,141,359.64/113,590
  6. Step 6: Final answer
    x = 76,900.62

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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.