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Finding the Fourth Proportional to 109,432.56, 151,007.86 and 61,697.64

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Solution

The fourth proportional to 109,432.56, 151,007.86 and 61,697.64 is: 85,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,432.56 : 151,007.86 = 61,697.64 : x
  2. Step 2: Convert to fraction form
    109,432.56/151,007.86 = 61,697.64/x
  3. Step 3: Cross multiply
    109,432.56x = 151,007.86 × 61,697.64
  4. Step 4: Simplify right side
    109,432.56x = 9,316,828,583.45
  5. Step 5: Solve for x
    x = 9,316,828,583.45/109,432.56
  6. Step 6: Final answer
    x = 85,137.63

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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.