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Finding the Fourth Proportional to 102,162.87, 153,114.53 and 45,942.93

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Solution

The fourth proportional to 102,162.87, 153,114.53 and 45,942.93 is: 68,856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,162.87 : 153,114.53 = 45,942.93 : x
  2. Step 2: Convert to fraction form
    102,162.87/153,114.53 = 45,942.93/x
  3. Step 3: Cross multiply
    102,162.87x = 153,114.53 × 45,942.93
  4. Step 4: Simplify right side
    102,162.87x = 7,034,529,904.06
  5. Step 5: Solve for x
    x = 7,034,529,904.06/102,162.87
  6. Step 6: Final answer
    x = 68,856.03

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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.