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Finding the Fourth Proportional to 76,316.38, 105,316.54 and 42,782.38

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Solution

The fourth proportional to 76,316.38, 105,316.54 and 42,782.38 is: 59,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,316.38 : 105,316.54 = 42,782.38 : x
  2. Step 2: Convert to fraction form
    76,316.38/105,316.54 = 42,782.38/x
  3. Step 3: Cross multiply
    76,316.38x = 105,316.54 × 42,782.38
  4. Step 4: Simplify right side
    76,316.38x = 4,505,691,864.32
  5. Step 5: Solve for x
    x = 4,505,691,864.32/76,316.38
  6. Step 6: Final answer
    x = 59,039.65

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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.