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Finding the Fourth Proportional to 159,978.44, 240,012.16 and 70,005.12

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Solution

The fourth proportional to 159,978.44, 240,012.16 and 70,005.12 is: 105,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,978.44 : 240,012.16 = 70,005.12 : x
  2. Step 2: Convert to fraction form
    159,978.44/240,012.16 = 70,005.12/x
  3. Step 3: Cross multiply
    159,978.44x = 240,012.16 × 70,005.12
  4. Step 4: Simplify right side
    159,978.44x = 16,802,080,062.26
  5. Step 5: Solve for x
    x = 16,802,080,062.26/159,978.44
  6. Step 6: Final answer
    x = 105,027.15

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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.