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Finding the Fourth Proportional to 78,690.78, 118,048.44 and 31,946.94

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Solution

The fourth proportional to 78,690.78, 118,048.44 and 31,946.94 is: 47,925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,690.78 : 118,048.44 = 31,946.94 : x
  2. Step 2: Convert to fraction form
    78,690.78/118,048.44 = 31,946.94/x
  3. Step 3: Cross multiply
    78,690.78x = 118,048.44 × 31,946.94
  4. Step 4: Simplify right side
    78,690.78x = 3,771,286,429.77
  5. Step 5: Solve for x
    x = 3,771,286,429.77/78,690.78
  6. Step 6: Final answer
    x = 47,925.39

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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.