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Finding the Fourth Proportional to 205,058.16, 282,980.40 and 120,175.20

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Solution

The fourth proportional to 205,058.16, 282,980.40 and 120,175.20 is: 165,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,058.16 : 282,980.40 = 120,175.20 : x
  2. Step 2: Convert to fraction form
    205,058.16/282,980.40 = 120,175.20/x
  3. Step 3: Cross multiply
    205,058.16x = 282,980.40 × 120,175.20
  4. Step 4: Simplify right side
    205,058.16x = 34,007,226,166.08
  5. Step 5: Solve for x
    x = 34,007,226,166.08/205,058.16
  6. Step 6: Final answer
    x = 165,841.86

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