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Finding the Fourth Proportional to 102,352.32, 153,578.16 and 77,215.86

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Solution

The fourth proportional to 102,352.32, 153,578.16 and 77,215.86 is: 115,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,352.32 : 153,578.16 = 77,215.86 : x
  2. Step 2: Convert to fraction form
    102,352.32/153,578.16 = 77,215.86/x
  3. Step 3: Cross multiply
    102,352.32x = 153,578.16 × 77,215.86
  4. Step 4: Simplify right side
    102,352.32x = 11,858,669,701.62
  5. Step 5: Solve for x
    x = 11,858,669,701.62/102,352.32
  6. Step 6: Final answer
    x = 115,861.27

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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.