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Finding the Fourth Proportional to 78,683.10, 118,083.42 and 45,358.68

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Solution

The fourth proportional to 78,683.10, 118,083.42 and 45,358.68 is: 68,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,683.10 : 118,083.42 = 45,358.68 : x
  2. Step 2: Convert to fraction form
    78,683.10/118,083.42 = 45,358.68/x
  3. Step 3: Cross multiply
    78,683.10x = 118,083.42 × 45,358.68
  4. Step 4: Simplify right side
    78,683.10x = 5,356,108,503.90
  5. Step 5: Solve for x
    x = 5,356,108,503.90/78,683.10
  6. Step 6: Final answer
    x = 68,071.91

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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.