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Finding the Fourth Proportional to 76,762.77, 105,976.57 and 51,312.24

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Solution

The fourth proportional to 76,762.77, 105,976.57 and 51,312.24 is: 70,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,762.77 : 105,976.57 = 51,312.24 : x
  2. Step 2: Convert to fraction form
    76,762.77/105,976.57 = 51,312.24/x
  3. Step 3: Cross multiply
    76,762.77x = 105,976.57 × 51,312.24
  4. Step 4: Simplify right side
    76,762.77x = 5,437,895,057.56
  5. Step 5: Solve for x
    x = 5,437,895,057.56/76,762.77
  6. Step 6: Final answer
    x = 70,840.27

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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.