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Finding the Fourth Proportional to 70,084.92, 105,070.62 and 47,842.28

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Solution

The fourth proportional to 70,084.92, 105,070.62 and 47,842.28 is: 71,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,084.92 : 105,070.62 = 47,842.28 : x
  2. Step 2: Convert to fraction form
    70,084.92/105,070.62 = 47,842.28/x
  3. Step 3: Cross multiply
    70,084.92x = 105,070.62 × 47,842.28
  4. Step 4: Simplify right side
    70,084.92x = 5,026,818,021.81
  5. Step 5: Solve for x
    x = 5,026,818,021.81/70,084.92
  6. Step 6: Final answer
    x = 71,724.67

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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.