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Finding the Fourth Proportional to 77,207.65, 115,831.45 and 45,213.74

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Solution

The fourth proportional to 77,207.65, 115,831.45 and 45,213.74 is: 67,832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,207.65 : 115,831.45 = 45,213.74 : x
  2. Step 2: Convert to fraction form
    77,207.65/115,831.45 = 45,213.74/x
  3. Step 3: Cross multiply
    77,207.65x = 115,831.45 × 45,213.74
  4. Step 4: Simplify right side
    77,207.65x = 5,237,173,064.12
  5. Step 5: Solve for x
    x = 5,237,173,064.12/77,207.65
  6. Step 6: Final answer
    x = 67,832.31

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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.