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Finding the Fourth Proportional to 76,765.53, 115,036.30 and 34,019.40

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Solution

The fourth proportional to 76,765.53, 115,036.30 and 34,019.40 is: 50,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,765.53 : 115,036.30 = 34,019.40 : x
  2. Step 2: Convert to fraction form
    76,765.53/115,036.30 = 34,019.40/x
  3. Step 3: Cross multiply
    76,765.53x = 115,036.30 × 34,019.40
  4. Step 4: Simplify right side
    76,765.53x = 3,913,465,904.22
  5. Step 5: Solve for x
    x = 3,913,465,904.22/76,765.53
  6. Step 6: Final answer
    x = 50,979.47

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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.