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Finding the Fourth Proportional to 210,515, 315,928.02 and 99,707

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Solution

The fourth proportional to 210,515, 315,928.02 and 99,707 is: 149,634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,515 : 315,928.02 = 99,707 : x
  2. Step 2: Convert to fraction form
    210,515/315,928.02 = 99,707/x
  3. Step 3: Cross multiply
    210,515x = 315,928.02 × 99,707
  4. Step 4: Simplify right side
    210,515x = 31,500,235,090.14
  5. Step 5: Solve for x
    x = 31,500,235,090.14/210,515
  6. Step 6: Final answer
    x = 149,634.16

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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.