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Finding the Fourth Proportional to 140,415.96, 210,643.83 and 45,615.81

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Solution

The fourth proportional to 140,415.96, 210,643.83 and 45,615.81 is: 68,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,415.96 : 210,643.83 = 45,615.81 : x
  2. Step 2: Convert to fraction form
    140,415.96/210,643.83 = 45,615.81/x
  3. Step 3: Cross multiply
    140,415.96x = 210,643.83 × 45,615.81
  4. Step 4: Simplify right side
    140,415.96x = 9,608,688,926.95
  5. Step 5: Solve for x
    x = 9,608,688,926.95/140,415.96
  6. Step 6: Final answer
    x = 68,430.18

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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.