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Finding the Fourth Proportional to 200,767.68, 277,050.60 and 120,240

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Solution

The fourth proportional to 200,767.68, 277,050.60 and 120,240 is: 165,925.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,767.68 : 277,050.60 = 120,240 : x
  2. Step 2: Convert to fraction form
    200,767.68/277,050.60 = 120,240/x
  3. Step 3: Cross multiply
    200,767.68x = 277,050.60 × 120,240
  4. Step 4: Simplify right side
    200,767.68x = 33,312,564,144.00
  5. Step 5: Solve for x
    x = 33,312,564,144.00/200,767.68
  6. Step 6: Final answer
    x = 165,925.93

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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.