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Finding the Fourth Proportional to 78,970.68, 108,942.30 and 46,683.54

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Solution

The fourth proportional to 78,970.68, 108,942.30 and 46,683.54 is: 64,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,970.68 : 108,942.30 = 46,683.54 : x
  2. Step 2: Convert to fraction form
    78,970.68/108,942.30 = 46,683.54/x
  3. Step 3: Cross multiply
    78,970.68x = 108,942.30 × 46,683.54
  4. Step 4: Simplify right side
    78,970.68x = 5,085,812,219.74
  5. Step 5: Solve for x
    x = 5,085,812,219.74/78,970.68
  6. Step 6: Final answer
    x = 64,401.27

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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.