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Finding the Fourth Proportional to 70,582.70, 105,857.88 and 42,127.68

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Solution

The fourth proportional to 70,582.70, 105,857.88 and 42,127.68 is: 63,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,582.70 : 105,857.88 = 42,127.68 : x
  2. Step 2: Convert to fraction form
    70,582.70/105,857.88 = 42,127.68/x
  3. Step 3: Cross multiply
    70,582.70x = 105,857.88 × 42,127.68
  4. Step 4: Simplify right side
    70,582.70x = 4,459,546,894.12
  5. Step 5: Solve for x
    x = 4,459,546,894.12/70,582.70
  6. Step 6: Final answer
    x = 63,181.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.