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Finding the Fourth Proportional to 84,907.54, 127,312.10 and 28,728.98

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Solution

The fourth proportional to 84,907.54, 127,312.10 and 28,728.98 is: 43,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,907.54 : 127,312.10 = 28,728.98 : x
  2. Step 2: Convert to fraction form
    84,907.54/127,312.10 = 28,728.98/x
  3. Step 3: Cross multiply
    84,907.54x = 127,312.10 × 28,728.98
  4. Step 4: Simplify right side
    84,907.54x = 3,657,546,741.21
  5. Step 5: Solve for x
    x = 3,657,546,741.21/84,907.54
  6. Step 6: Final answer
    x = 43,076.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.