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Finding the Fourth Proportional to 76,577.69, 114,866.57 and 31,598.39

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Solution

The fourth proportional to 76,577.69, 114,866.57 and 31,598.39 is: 47,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,577.69 : 114,866.57 = 31,598.39 : x
  2. Step 2: Convert to fraction form
    76,577.69/114,866.57 = 31,598.39/x
  3. Step 3: Cross multiply
    76,577.69x = 114,866.57 × 31,598.39
  4. Step 4: Simplify right side
    76,577.69x = 3,629,599,080.62
  5. Step 5: Solve for x
    x = 3,629,599,080.62/76,577.69
  6. Step 6: Final answer
    x = 47,397.60

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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.