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Finding the Fourth Proportional to 102,095.47, 153,143.21 and 31,980.25

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Solution

The fourth proportional to 102,095.47, 153,143.21 and 31,980.25 is: 47,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,095.47 : 153,143.21 = 31,980.25 : x
  2. Step 2: Convert to fraction form
    102,095.47/153,143.21 = 31,980.25/x
  3. Step 3: Cross multiply
    102,095.47x = 153,143.21 × 31,980.25
  4. Step 4: Simplify right side
    102,095.47x = 4,897,558,141.60
  5. Step 5: Solve for x
    x = 4,897,558,141.60/102,095.47
  6. Step 6: Final answer
    x = 47,970.38

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