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Finding the Fourth Proportional to 70,083.28, 105,138.75 and 25,710.40

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Solution

The fourth proportional to 70,083.28, 105,138.75 and 25,710.40 is: 38,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,083.28 : 105,138.75 = 25,710.40 : x
  2. Step 2: Convert to fraction form
    70,083.28/105,138.75 = 25,710.40/x
  3. Step 3: Cross multiply
    70,083.28x = 105,138.75 × 25,710.40
  4. Step 4: Simplify right side
    70,083.28x = 2,703,159,318
  5. Step 5: Solve for x
    x = 2,703,159,318/70,083.28
  6. Step 6: Final answer
    x = 38,570.67

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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.