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Finding the Fourth Proportional to 172,564.10, 258,444.81 and 166,577.32

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Solution

The fourth proportional to 172,564.10, 258,444.81 and 166,577.32 is: 249,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,564.10 : 258,444.81 = 166,577.32 : x
  2. Step 2: Convert to fraction form
    172,564.10/258,444.81 = 166,577.32/x
  3. Step 3: Cross multiply
    172,564.10x = 258,444.81 × 166,577.32
  4. Step 4: Simplify right side
    172,564.10x = 43,051,042,801.24
  5. Step 5: Solve for x
    x = 43,051,042,801.24/172,564.10
  6. Step 6: Final answer
    x = 249,478.55

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