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Finding the Fourth Proportional to 201,312, 277,815.88 and 109,437.46

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Solution

The fourth proportional to 201,312, 277,815.88 and 109,437.46 is: 151,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,312 : 277,815.88 = 109,437.46 : x
  2. Step 2: Convert to fraction form
    201,312/277,815.88 = 109,437.46/x
  3. Step 3: Cross multiply
    201,312x = 277,815.88 × 109,437.46
  4. Step 4: Simplify right side
    201,312x = 30,403,464,644.25
  5. Step 5: Solve for x
    x = 30,403,464,644.25/201,312
  6. Step 6: Final answer
    x = 151,026.59

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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.