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Finding the Fourth Proportional to 211,803.81, 317,705.72 and 99,561.50

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Solution

The fourth proportional to 211,803.81, 317,705.72 and 99,561.50 is: 149,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,803.81 : 317,705.72 = 99,561.50 : x
  2. Step 2: Convert to fraction form
    211,803.81/317,705.72 = 99,561.50/x
  3. Step 3: Cross multiply
    211,803.81x = 317,705.72 × 99,561.50
  4. Step 4: Simplify right side
    211,803.81x = 31,631,257,146.84
  5. Step 5: Solve for x
    x = 31,631,257,146.84/211,803.81
  6. Step 6: Final answer
    x = 149,342.25

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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.