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Finding the Fourth Proportional to 70,807.86, 97,713.81 and 38,975.94

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Solution

The fourth proportional to 70,807.86, 97,713.81 and 38,975.94 is: 53,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,807.86 : 97,713.81 = 38,975.94 : x
  2. Step 2: Convert to fraction form
    70,807.86/97,713.81 = 38,975.94/x
  3. Step 3: Cross multiply
    70,807.86x = 97,713.81 × 38,975.94
  4. Step 4: Simplify right side
    70,807.86x = 3,808,487,595.73
  5. Step 5: Solve for x
    x = 3,808,487,595.73/70,807.86
  6. Step 6: Final answer
    x = 53,786.23

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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.