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Finding the Fourth Proportional to 105,376.50, 158,064.84 and 43,047

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Solution

The fourth proportional to 105,376.50, 158,064.84 and 43,047 is: 64,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,376.50 : 158,064.84 = 43,047 : x
  2. Step 2: Convert to fraction form
    105,376.50/158,064.84 = 43,047/x
  3. Step 3: Cross multiply
    105,376.50x = 158,064.84 × 43,047
  4. Step 4: Simplify right side
    105,376.50x = 6,804,217,167.48
  5. Step 5: Solve for x
    x = 6,804,217,167.48/105,376.50
  6. Step 6: Final answer
    x = 64,570.54

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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.