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Finding the Fourth Proportional to 210,607.81, 315,734 and 98,228.81

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Solution

The fourth proportional to 210,607.81, 315,734 and 98,228.81 is: 147,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,607.81 : 315,734 = 98,228.81 : x
  2. Step 2: Convert to fraction form
    210,607.81/315,734 = 98,228.81/x
  3. Step 3: Cross multiply
    210,607.81x = 315,734 × 98,228.81
  4. Step 4: Simplify right side
    210,607.81x = 31,014,175,096.54
  5. Step 5: Solve for x
    x = 31,014,175,096.54/210,607.81
  6. Step 6: Final answer
    x = 147,260.33

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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.