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Finding the Fourth Proportional to 78,603.35, 117,916.83 and 36,487.77

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Solution

The fourth proportional to 78,603.35, 117,916.83 and 36,487.77 is: 54,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,603.35 : 117,916.83 = 36,487.77 : x
  2. Step 2: Convert to fraction form
    78,603.35/117,916.83 = 36,487.77/x
  3. Step 3: Cross multiply
    78,603.35x = 117,916.83 × 36,487.77
  4. Step 4: Simplify right side
    78,603.35x = 4,302,521,729.98
  5. Step 5: Solve for x
    x = 4,302,521,729.98/78,603.35
  6. Step 6: Final answer
    x = 54,737.13

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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.