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Finding the Fourth Proportional to 76,357.54, 105,393.45 and 42,834.34

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Solution

The fourth proportional to 76,357.54, 105,393.45 and 42,834.34 is: 59,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,357.54 : 105,393.45 = 42,834.34 : x
  2. Step 2: Convert to fraction form
    76,357.54/105,393.45 = 42,834.34/x
  3. Step 3: Cross multiply
    76,357.54x = 105,393.45 × 42,834.34
  4. Step 4: Simplify right side
    76,357.54x = 4,514,458,871.07
  5. Step 5: Solve for x
    x = 4,514,458,871.07/76,357.54
  6. Step 6: Final answer
    x = 59,122.63

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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.