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Finding the Fourth Proportional to 85,410, 127,954.62 and 78,965.64

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Solution

The fourth proportional to 85,410, 127,954.62 and 78,965.64 is: 118,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,410 : 127,954.62 = 78,965.64 : x
  2. Step 2: Convert to fraction form
    85,410/127,954.62 = 78,965.64/x
  3. Step 3: Cross multiply
    85,410x = 127,954.62 × 78,965.64
  4. Step 4: Simplify right side
    85,410x = 10,104,018,459.26
  5. Step 5: Solve for x
    x = 10,104,018,459.26/85,410
  6. Step 6: Final answer
    x = 118,300.18

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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.