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Finding the Fourth Proportional to 70,142.34, 105,238.08 and 43,816.26

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Solution

The fourth proportional to 70,142.34, 105,238.08 and 43,816.26 is: 65,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,142.34 : 105,238.08 = 43,816.26 : x
  2. Step 2: Convert to fraction form
    70,142.34/105,238.08 = 43,816.26/x
  3. Step 3: Cross multiply
    70,142.34x = 105,238.08 × 43,816.26
  4. Step 4: Simplify right side
    70,142.34x = 4,611,139,075.18
  5. Step 5: Solve for x
    x = 4,611,139,075.18/70,142.34
  6. Step 6: Final answer
    x = 65,739.74

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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.