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Finding the Fourth Proportional to 207,360, 286,156.80 and 117,936

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Solution

The fourth proportional to 207,360, 286,156.80 and 117,936 is: 162,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,360 : 286,156.80 = 117,936 : x
  2. Step 2: Convert to fraction form
    207,360/286,156.80 = 117,936/x
  3. Step 3: Cross multiply
    207,360x = 286,156.80 × 117,936
  4. Step 4: Simplify right side
    207,360x = 33,748,188,364.80
  5. Step 5: Solve for x
    x = 33,748,188,364.80/207,360
  6. Step 6: Final answer
    x = 162,751.68

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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.