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Finding the Fourth Proportional to 145,911.78, 218,761.11 and 98,408.79

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Solution

The fourth proportional to 145,911.78, 218,761.11 and 98,408.79 is: 147,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,911.78 : 218,761.11 = 98,408.79 : x
  2. Step 2: Convert to fraction form
    145,911.78/218,761.11 = 98,408.79/x
  3. Step 3: Cross multiply
    145,911.78x = 218,761.11 × 98,408.79
  4. Step 4: Simplify right side
    145,911.78x = 21,528,016,134.16
  5. Step 5: Solve for x
    x = 21,528,016,134.16/145,911.78
  6. Step 6: Final answer
    x = 147,541.32

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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.