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Finding the Fourth Proportional to 52,642.12, 72,643.06 and 28,769

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Solution

The fourth proportional to 52,642.12, 72,643.06 and 28,769 is: 39,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,642.12 : 72,643.06 = 28,769 : x
  2. Step 2: Convert to fraction form
    52,642.12/72,643.06 = 28,769/x
  3. Step 3: Cross multiply
    52,642.12x = 72,643.06 × 28,769
  4. Step 4: Simplify right side
    52,642.12x = 2,089,868,193.14
  5. Step 5: Solve for x
    x = 2,089,868,193.14/52,642.12
  6. Step 6: Final answer
    x = 39,699.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.