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Finding the Fourth Proportional to 78,713.71, 118,048.97 and 47,098.89

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Solution

The fourth proportional to 78,713.71, 118,048.97 and 47,098.89 is: 70,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,713.71 : 118,048.97 = 47,098.89 : x
  2. Step 2: Convert to fraction form
    78,713.71/118,048.97 = 47,098.89/x
  3. Step 3: Cross multiply
    78,713.71x = 118,048.97 × 47,098.89
  4. Step 4: Simplify right side
    78,713.71x = 5,559,975,570.39
  5. Step 5: Solve for x
    x = 5,559,975,570.39/78,713.71
  6. Step 6: Final answer
    x = 70,635.42

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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.