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Finding the Fourth Proportional to 100,424.16, 150,640.16 and 30,303.48

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Solution

The fourth proportional to 100,424.16, 150,640.16 and 30,303.48 is: 45,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,424.16 : 150,640.16 = 30,303.48 : x
  2. Step 2: Convert to fraction form
    100,424.16/150,640.16 = 30,303.48/x
  3. Step 3: Cross multiply
    100,424.16x = 150,640.16 × 30,303.48
  4. Step 4: Simplify right side
    100,424.16x = 4,564,921,075.76
  5. Step 5: Solve for x
    x = 4,564,921,075.76/100,424.16
  6. Step 6: Final answer
    x = 45,456.40

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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.