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Finding the Fourth Proportional to 108,107.44, 161,897.64 and 61,218.16

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Solution

The fourth proportional to 108,107.44, 161,897.64 and 61,218.16 is: 91,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,107.44 : 161,897.64 = 61,218.16 : x
  2. Step 2: Convert to fraction form
    108,107.44/161,897.64 = 61,218.16/x
  3. Step 3: Cross multiply
    108,107.44x = 161,897.64 × 61,218.16
  4. Step 4: Simplify right side
    108,107.44x = 9,911,075,629.14
  5. Step 5: Solve for x
    x = 9,911,075,629.14/108,107.44
  6. Step 6: Final answer
    x = 91,678.02

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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.