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Finding the Fourth Proportional to 105,539.40, 158,001.90 and 102,467.40

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Solution

The fourth proportional to 105,539.40, 158,001.90 and 102,467.40 is: 153,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,539.40 : 158,001.90 = 102,467.40 : x
  2. Step 2: Convert to fraction form
    105,539.40/158,001.90 = 102,467.40/x
  3. Step 3: Cross multiply
    105,539.40x = 158,001.90 × 102,467.40
  4. Step 4: Simplify right side
    105,539.40x = 16,190,043,888.06
  5. Step 5: Solve for x
    x = 16,190,043,888.06/105,539.40
  6. Step 6: Final answer
    x = 153,402.84

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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.