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Finding the Fourth Proportional to 108,616.80, 162,779.40 and 77,415.60

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Solution

The fourth proportional to 108,616.80, 162,779.40 and 77,415.60 is: 116,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,616.80 : 162,779.40 = 77,415.60 : x
  2. Step 2: Convert to fraction form
    108,616.80/162,779.40 = 77,415.60/x
  3. Step 3: Cross multiply
    108,616.80x = 162,779.40 × 77,415.60
  4. Step 4: Simplify right side
    108,616.80x = 12,601,664,918.64
  5. Step 5: Solve for x
    x = 12,601,664,918.64/108,616.80
  6. Step 6: Final answer
    x = 116,019.48

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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.