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Finding the Fourth Proportional to 76,509.93, 105,583.76 and 42,521.58

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Solution

The fourth proportional to 76,509.93, 105,583.76 and 42,521.58 is: 58,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.93 : 105,583.76 = 42,521.58 : x
  2. Step 2: Convert to fraction form
    76,509.93/105,583.76 = 42,521.58/x
  3. Step 3: Cross multiply
    76,509.93x = 105,583.76 × 42,521.58
  4. Step 4: Simplify right side
    76,509.93x = 4,489,588,297.54
  5. Step 5: Solve for x
    x = 4,489,588,297.54/76,509.93
  6. Step 6: Final answer
    x = 58,679.81

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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.