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Finding the Fourth Proportional to 207,678.63, 311,513.48 and 57,914.93

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Solution

The fourth proportional to 207,678.63, 311,513.48 and 57,914.93 is: 86,871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,678.63 : 311,513.48 = 57,914.93 : x
  2. Step 2: Convert to fraction form
    207,678.63/311,513.48 = 57,914.93/x
  3. Step 3: Cross multiply
    207,678.63x = 311,513.48 × 57,914.93
  4. Step 4: Simplify right side
    207,678.63x = 18,041,282,094.65
  5. Step 5: Solve for x
    x = 18,041,282,094.65/207,678.63
  6. Step 6: Final answer
    x = 86,871.15

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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.