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Finding the Fourth Proportional to 210,606.81, 315,732.50 and 98,227.81

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Solution

The fourth proportional to 210,606.81, 315,732.50 and 98,227.81 is: 147,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,606.81 : 315,732.50 = 98,227.81 : x
  2. Step 2: Convert to fraction form
    210,606.81/315,732.50 = 98,227.81/x
  3. Step 3: Cross multiply
    210,606.81x = 315,732.50 × 98,227.81
  4. Step 4: Simplify right side
    210,606.81x = 31,013,712,020.83
  5. Step 5: Solve for x
    x = 31,013,712,020.83/210,606.81
  6. Step 6: Final answer
    x = 147,258.83

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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.