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Finding the Fourth Proportional to 70,298.46, 105,459.84 and 30,859.56

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Solution

The fourth proportional to 70,298.46, 105,459.84 and 30,859.56 is: 46,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,298.46 : 105,459.84 = 30,859.56 : x
  2. Step 2: Convert to fraction form
    70,298.46/105,459.84 = 30,859.56/x
  3. Step 3: Cross multiply
    70,298.46x = 105,459.84 × 30,859.56
  4. Step 4: Simplify right side
    70,298.46x = 3,254,444,260.07
  5. Step 5: Solve for x
    x = 3,254,444,260.07/70,298.46
  6. Step 6: Final answer
    x = 46,294.67

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1.5x scale

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.