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Finding the Fourth Proportional to 76,708.50, 105,803.20 and 51,202.00

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Solution

The fourth proportional to 76,708.50, 105,803.20 and 51,202.00 is: 70,622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,708.50 : 105,803.20 = 51,202.00 : x
  2. Step 2: Convert to fraction form
    76,708.50/105,803.20 = 51,202.00/x
  3. Step 3: Cross multiply
    76,708.50x = 105,803.20 × 51,202.00
  4. Step 4: Simplify right side
    76,708.50x = 5,417,335,354.65
  5. Step 5: Solve for x
    x = 5,417,335,354.65/76,708.50
  6. Step 6: Final answer
    x = 70,622.36

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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.