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Finding the Fourth Proportional to 140,303.46, 210,538.16 and 51,619.19

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Solution

The fourth proportional to 140,303.46, 210,538.16 and 51,619.19 is: 77,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,303.46 : 210,538.16 = 51,619.19 : x
  2. Step 2: Convert to fraction form
    140,303.46/210,538.16 = 51,619.19/x
  3. Step 3: Cross multiply
    140,303.46x = 210,538.16 × 51,619.19
  4. Step 4: Simplify right side
    140,303.46x = 10,867,807,972.50
  5. Step 5: Solve for x
    x = 10,867,807,972.50/140,303.46
  6. Step 6: Final answer
    x = 77,459.30

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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.