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Finding the Fourth Proportional to 78,881.85, 118,246.23 and 31,483.22

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Solution

The fourth proportional to 78,881.85, 118,246.23 and 31,483.22 is: 47,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,881.85 : 118,246.23 = 31,483.22 : x
  2. Step 2: Convert to fraction form
    78,881.85/118,246.23 = 31,483.22/x
  3. Step 3: Cross multiply
    78,881.85x = 118,246.23 × 31,483.22
  4. Step 4: Simplify right side
    78,881.85x = 3,722,771,482.03
  5. Step 5: Solve for x
    x = 3,722,771,482.03/78,881.85
  6. Step 6: Final answer
    x = 47,194.27

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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.