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Finding the Fourth Proportional to 157,066, 235,674.60 and 78,187.12

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Solution

The fourth proportional to 157,066, 235,674.60 and 78,187.12 is: 117,318.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,066 : 235,674.60 = 78,187.12 : x
  2. Step 2: Convert to fraction form
    157,066/235,674.60 = 78,187.12/x
  3. Step 3: Cross multiply
    157,066x = 235,674.60 × 78,187.12
  4. Step 4: Simplify right side
    157,066x = 18,426,718,231.15
  5. Step 5: Solve for x
    x = 18,426,718,231.15/157,066
  6. Step 6: Final answer
    x = 117,318.31

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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.