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Finding the Fourth Proportional to 100,597.16, 150,896 and 30,477.08

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Solution

The fourth proportional to 100,597.16, 150,896 and 30,477.08 is: 45,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,597.16 : 150,896 = 30,477.08 : x
  2. Step 2: Convert to fraction form
    100,597.16/150,896 = 30,477.08/x
  3. Step 3: Cross multiply
    100,597.16x = 150,896 × 30,477.08
  4. Step 4: Simplify right side
    100,597.16x = 4,598,869,463.68
  5. Step 5: Solve for x
    x = 4,598,869,463.68/100,597.16
  6. Step 6: Final answer
    x = 45,715.70

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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.