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Finding the Fourth Proportional to 64,948.50, 89,628.93 and 35,140.50

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Solution

The fourth proportional to 64,948.50, 89,628.93 and 35,140.50 is: 48,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,948.50 : 89,628.93 = 35,140.50 : x
  2. Step 2: Convert to fraction form
    64,948.50/89,628.93 = 35,140.50/x
  3. Step 3: Cross multiply
    64,948.50x = 89,628.93 × 35,140.50
  4. Step 4: Simplify right side
    64,948.50x = 3,149,605,414.67
  5. Step 5: Solve for x
    x = 3,149,605,414.67/64,948.50
  6. Step 6: Final answer
    x = 48,493.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.