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Finding the Fourth Proportional to 207,683.10, 286,603.80 and 117,040.47

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Solution

The fourth proportional to 207,683.10, 286,603.80 and 117,040.47 is: 161,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,683.10 : 286,603.80 = 117,040.47 : x
  2. Step 2: Convert to fraction form
    207,683.10/286,603.80 = 117,040.47/x
  3. Step 3: Cross multiply
    207,683.10x = 286,603.80 × 117,040.47
  4. Step 4: Simplify right side
    207,683.10x = 33,544,243,455.79
  5. Step 5: Solve for x
    x = 33,544,243,455.79/207,683.10
  6. Step 6: Final answer
    x = 161,516.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.