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Finding the Fourth Proportional to 70,404.10, 105,721.35 and 47,133.70

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Solution

The fourth proportional to 70,404.10, 105,721.35 and 47,133.70 is: 70,777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,404.10 : 105,721.35 = 47,133.70 : x
  2. Step 2: Convert to fraction form
    70,404.10/105,721.35 = 47,133.70/x
  3. Step 3: Cross multiply
    70,404.10x = 105,721.35 × 47,133.70
  4. Step 4: Simplify right side
    70,404.10x = 4,983,038,394.50
  5. Step 5: Solve for x
    x = 4,983,038,394.50/70,404.10
  6. Step 6: Final answer
    x = 70,777.67

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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.