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Finding the Fourth Proportional to 105,438.51, 158,157.87 and 43,109.01

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Solution

The fourth proportional to 105,438.51, 158,157.87 and 43,109.01 is: 64,663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,438.51 : 158,157.87 = 43,109.01 : x
  2. Step 2: Convert to fraction form
    105,438.51/158,157.87 = 43,109.01/x
  3. Step 3: Cross multiply
    105,438.51x = 158,157.87 × 43,109.01
  4. Step 4: Simplify right side
    105,438.51x = 6,818,029,199.41
  5. Step 5: Solve for x
    x = 6,818,029,199.41/105,438.51
  6. Step 6: Final answer
    x = 64,663.56

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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.