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Finding the Fourth Proportional to 76,874.66, 106,087.14 and 42,885.34

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Solution

The fourth proportional to 76,874.66, 106,087.14 and 42,885.34 is: 59,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,874.66 : 106,087.14 = 42,885.34 : x
  2. Step 2: Convert to fraction form
    76,874.66/106,087.14 = 42,885.34/x
  3. Step 3: Cross multiply
    76,874.66x = 106,087.14 × 42,885.34
  4. Step 4: Simplify right side
    76,874.66x = 4,549,583,068.53
  5. Step 5: Solve for x
    x = 4,549,583,068.53/76,874.66
  6. Step 6: Final answer
    x = 59,181.83

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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.