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Finding the Fourth Proportional to 76,765.84, 115,008.46 and 55,653.53

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Solution

The fourth proportional to 76,765.84, 115,008.46 and 55,653.53 is: 83,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,765.84 : 115,008.46 = 55,653.53 : x
  2. Step 2: Convert to fraction form
    76,765.84/115,008.46 = 55,653.53/x
  3. Step 3: Cross multiply
    76,765.84x = 115,008.46 × 55,653.53
  4. Step 4: Simplify right side
    76,765.84x = 6,400,626,064.69
  5. Step 5: Solve for x
    x = 6,400,626,064.69/76,765.84
  6. Step 6: Final answer
    x = 83,378.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.