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Finding the Fourth Proportional to 210,186.81, 315,271.40 and 97,828.38

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Solution

The fourth proportional to 210,186.81, 315,271.40 and 97,828.38 is: 146,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,186.81 : 315,271.40 = 97,828.38 : x
  2. Step 2: Convert to fraction form
    210,186.81/315,271.40 = 97,828.38/x
  3. Step 3: Cross multiply
    210,186.81x = 315,271.40 × 97,828.38
  4. Step 4: Simplify right side
    210,186.81x = 30,842,489,833.19
  5. Step 5: Solve for x
    x = 30,842,489,833.19/210,186.81
  6. Step 6: Final answer
    x = 146,738.46

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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.