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Finding the Fourth Proportional to 209,817.81, 314,476.70 and 120,887.01

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Solution

The fourth proportional to 209,817.81, 314,476.70 and 120,887.01 is: 181,186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,817.81 : 314,476.70 = 120,887.01 : x
  2. Step 2: Convert to fraction form
    209,817.81/314,476.70 = 120,887.01/x
  3. Step 3: Cross multiply
    209,817.81x = 314,476.70 × 120,887.01
  4. Step 4: Simplify right side
    209,817.81x = 38,016,147,373.23
  5. Step 5: Solve for x
    x = 38,016,147,373.23/209,817.81
  6. Step 6: Final answer
    x = 181,186.47

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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.