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Finding the Fourth Proportional to 98,106, 147,160.38 and 27,985.32

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Solution

The fourth proportional to 98,106, 147,160.38 and 27,985.32 is: 41,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,106 : 147,160.38 = 27,985.32 : x
  2. Step 2: Convert to fraction form
    98,106/147,160.38 = 27,985.32/x
  3. Step 3: Cross multiply
    98,106x = 147,160.38 × 27,985.32
  4. Step 4: Simplify right side
    98,106x = 4,118,330,325.62
  5. Step 5: Solve for x
    x = 4,118,330,325.62/98,106
  6. Step 6: Final answer
    x = 41,978.37

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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.