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Finding the Fourth Proportional to 215,781.84, 323,775.48 and 97,489.36

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Solution

The fourth proportional to 215,781.84, 323,775.48 and 97,489.36 is: 146,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,781.84 : 323,775.48 = 97,489.36 : x
  2. Step 2: Convert to fraction form
    215,781.84/323,775.48 = 97,489.36/x
  3. Step 3: Cross multiply
    215,781.84x = 323,775.48 × 97,489.36
  4. Step 4: Simplify right side
    215,781.84x = 31,564,664,328.89
  5. Step 5: Solve for x
    x = 31,564,664,328.89/215,781.84
  6. Step 6: Final answer
    x = 146,280.45

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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.