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Finding the Fourth Proportional to 105,424.30, 158,172.90 and 101,779.30

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Solution

The fourth proportional to 105,424.30, 158,172.90 and 101,779.30 is: 152,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,424.30 : 158,172.90 = 101,779.30 : x
  2. Step 2: Convert to fraction form
    105,424.30/158,172.90 = 101,779.30/x
  3. Step 3: Cross multiply
    105,424.30x = 158,172.90 × 101,779.30
  4. Step 4: Simplify right side
    105,424.30x = 16,098,727,040.97
  5. Step 5: Solve for x
    x = 16,098,727,040.97/105,424.30
  6. Step 6: Final answer
    x = 152,704.14

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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.