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Finding the Fourth Proportional to 30,088, 45,134.40 and 10,366.56

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Solution

The fourth proportional to 30,088, 45,134.40 and 10,366.56 is: 15,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,088 : 45,134.40 = 10,366.56 : x
  2. Step 2: Convert to fraction form
    30,088/45,134.40 = 10,366.56/x
  3. Step 3: Cross multiply
    30,088x = 45,134.40 × 10,366.56
  4. Step 4: Simplify right side
    30,088x = 467,888,465.66
  5. Step 5: Solve for x
    x = 467,888,465.66/30,088
  6. Step 6: Final answer
    x = 15,550.67

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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.