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Finding the Fourth Proportional to 77,088.65, 115,640.66 and 20,929.66

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Solution

The fourth proportional to 77,088.65, 115,640.66 and 20,929.66 is: 31,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,088.65 : 115,640.66 = 20,929.66 : x
  2. Step 2: Convert to fraction form
    77,088.65/115,640.66 = 20,929.66/x
  3. Step 3: Cross multiply
    77,088.65x = 115,640.66 × 20,929.66
  4. Step 4: Simplify right side
    77,088.65x = 2,420,319,459.20
  5. Step 5: Solve for x
    x = 2,420,319,459.20/77,088.65
  6. Step 6: Final answer
    x = 31,396.58

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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.