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Finding the Fourth Proportional to 76,906.10, 106,130.24 and 42,912.50

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Solution

The fourth proportional to 76,906.10, 106,130.24 and 42,912.50 is: 59,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,906.10 : 106,130.24 = 42,912.50 : x
  2. Step 2: Convert to fraction form
    76,906.10/106,130.24 = 42,912.50/x
  3. Step 3: Cross multiply
    76,906.10x = 106,130.24 × 42,912.50
  4. Step 4: Simplify right side
    76,906.10x = 4,554,313,924
  5. Step 5: Solve for x
    x = 4,554,313,924/76,906.10
  6. Step 6: Final answer
    x = 59,219.15

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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.