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Finding the Fourth Proportional to 210,437.16, 315,729.56 and 109,186.56

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Solution

The fourth proportional to 210,437.16, 315,729.56 and 109,186.56 is: 163,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,437.16 : 315,729.56 = 109,186.56 : x
  2. Step 2: Convert to fraction form
    210,437.16/315,729.56 = 109,186.56/x
  3. Step 3: Cross multiply
    210,437.16x = 315,729.56 × 109,186.56
  4. Step 4: Simplify right side
    210,437.16x = 34,473,424,546.71
  5. Step 5: Solve for x
    x = 34,473,424,546.71/210,437.16
  6. Step 6: Final answer
    x = 163,818.14

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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.