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Finding the Fourth Proportional to 131,541.61, 197,341.64 and 61,382.65

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Solution

The fourth proportional to 131,541.61, 197,341.64 and 61,382.65 is: 92,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,541.61 : 197,341.64 = 61,382.65 : x
  2. Step 2: Convert to fraction form
    131,541.61/197,341.64 = 61,382.65/x
  3. Step 3: Cross multiply
    131,541.61x = 197,341.64 × 61,382.65
  4. Step 4: Simplify right side
    131,541.61x = 12,113,352,818.55
  5. Step 5: Solve for x
    x = 12,113,352,818.55/131,541.61
  6. Step 6: Final answer
    x = 92,087.61

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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.