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Finding the Fourth Proportional to 100,423.84, 150,636.92 and 30,303.76

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Solution

The fourth proportional to 100,423.84, 150,636.92 and 30,303.76 is: 45,455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,423.84 : 150,636.92 = 30,303.76 : x
  2. Step 2: Convert to fraction form
    100,423.84/150,636.92 = 30,303.76/x
  3. Step 3: Cross multiply
    100,423.84x = 150,636.92 × 30,303.76
  4. Step 4: Simplify right side
    100,423.84x = 4,564,865,070.82
  5. Step 5: Solve for x
    x = 4,564,865,070.82/100,423.84
  6. Step 6: Final answer
    x = 45,455.99

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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.