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Finding the Fourth Proportional to 76,519, 105,596.22 and 42,985

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Solution

The fourth proportional to 76,519, 105,596.22 and 42,985 is: 59,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,519 : 105,596.22 = 42,985 : x
  2. Step 2: Convert to fraction form
    76,519/105,596.22 = 42,985/x
  3. Step 3: Cross multiply
    76,519x = 105,596.22 × 42,985
  4. Step 4: Simplify right side
    76,519x = 4,539,053,516.70
  5. Step 5: Solve for x
    x = 4,539,053,516.70/76,519
  6. Step 6: Final answer
    x = 59,319.30

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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.