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Finding the Fourth Proportional to 76,885.50, 106,101.99 and 41,557.50

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Solution

The fourth proportional to 76,885.50, 106,101.99 and 41,557.50 is: 57,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,885.50 : 106,101.99 = 41,557.50 : x
  2. Step 2: Convert to fraction form
    76,885.50/106,101.99 = 41,557.50/x
  3. Step 3: Cross multiply
    76,885.50x = 106,101.99 × 41,557.50
  4. Step 4: Simplify right side
    76,885.50x = 4,409,333,449.43
  5. Step 5: Solve for x
    x = 4,409,333,449.43/76,885.50
  6. Step 6: Final answer
    x = 57,349.35

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1.5x scale

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.