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Finding the Fourth Proportional to 76,568.63, 105,666.55 and 42,578.55

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Solution

The fourth proportional to 76,568.63, 105,666.55 and 42,578.55 is: 58,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,568.63 : 105,666.55 = 42,578.55 : x
  2. Step 2: Convert to fraction form
    76,568.63/105,666.55 = 42,578.55/x
  3. Step 3: Cross multiply
    76,568.63x = 105,666.55 × 42,578.55
  4. Step 4: Simplify right side
    76,568.63x = 4,499,128,376.06
  5. Step 5: Solve for x
    x = 4,499,128,376.06/76,568.63
  6. Step 6: Final answer
    x = 58,759.42

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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.