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Finding the Fourth Proportional to 207,913.66, 286,904.34 and 117,240.64

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Solution

The fourth proportional to 207,913.66, 286,904.34 and 117,240.64 is: 161,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,913.66 : 286,904.34 = 117,240.64 : x
  2. Step 2: Convert to fraction form
    207,913.66/286,904.34 = 117,240.64/x
  3. Step 3: Cross multiply
    207,913.66x = 286,904.34 × 117,240.64
  4. Step 4: Simplify right side
    207,913.66x = 33,636,848,440.38
  5. Step 5: Solve for x
    x = 33,636,848,440.38/207,913.66
  6. Step 6: Final answer
    x = 161,782.77

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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.