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Finding the Fourth Proportional to 307,783.50, 461,701.20 and 86,167.50

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Solution

The fourth proportional to 307,783.50, 461,701.20 and 86,167.50 is: 129,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,783.50 : 461,701.20 = 86,167.50 : x
  2. Step 2: Convert to fraction form
    307,783.50/461,701.20 = 86,167.50/x
  3. Step 3: Cross multiply
    307,783.50x = 461,701.20 × 86,167.50
  4. Step 4: Simplify right side
    307,783.50x = 39,783,638,151
  5. Step 5: Solve for x
    x = 39,783,638,151/307,783.50
  6. Step 6: Final answer
    x = 129,258.51

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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.