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Finding the Fourth Proportional to 131,178.64, 181,025.64 and 74,590

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Solution

The fourth proportional to 131,178.64, 181,025.64 and 74,590 is: 102,933.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,178.64 : 181,025.64 = 74,590 : x
  2. Step 2: Convert to fraction form
    131,178.64/181,025.64 = 74,590/x
  3. Step 3: Cross multiply
    131,178.64x = 181,025.64 × 74,590
  4. Step 4: Simplify right side
    131,178.64x = 13,502,702,487.60
  5. Step 5: Solve for x
    x = 13,502,702,487.60/131,178.64
  6. Step 6: Final answer
    x = 102,933.70

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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.