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Finding the Fourth Proportional to 145,378.54, 218,097.11 and 51,881.86

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Solution

The fourth proportional to 145,378.54, 218,097.11 and 51,881.86 is: 77,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,378.54 : 218,097.11 = 51,881.86 : x
  2. Step 2: Convert to fraction form
    145,378.54/218,097.11 = 51,881.86/x
  3. Step 3: Cross multiply
    145,378.54x = 218,097.11 × 51,881.86
  4. Step 4: Simplify right side
    145,378.54x = 11,315,283,727.42
  5. Step 5: Solve for x
    x = 11,315,283,727.42/145,378.54
  6. Step 6: Final answer
    x = 77,833.25

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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.