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Finding the Fourth Proportional to 210,470.97, 315,831.01 and 77,444.64

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Solution

The fourth proportional to 210,470.97, 315,831.01 and 77,444.64 is: 116,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,470.97 : 315,831.01 = 77,444.64 : x
  2. Step 2: Convert to fraction form
    210,470.97/315,831.01 = 77,444.64/x
  3. Step 3: Cross multiply
    210,470.97x = 315,831.01 × 77,444.64
  4. Step 4: Simplify right side
    210,470.97x = 24,459,418,676.67
  5. Step 5: Solve for x
    x = 24,459,418,676.67/210,470.97
  6. Step 6: Final answer
    x = 116,212.79

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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.