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Finding the Fourth Proportional to 152,703, 210,749.60 and 85,635

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Solution

The fourth proportional to 152,703, 210,749.60 and 85,635 is: 118,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,703 : 210,749.60 = 85,635 : x
  2. Step 2: Convert to fraction form
    152,703/210,749.60 = 85,635/x
  3. Step 3: Cross multiply
    152,703x = 210,749.60 × 85,635
  4. Step 4: Simplify right side
    152,703x = 18,047,541,996
  5. Step 5: Solve for x
    x = 18,047,541,996/152,703
  6. Step 6: Final answer
    x = 118,187.21

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