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Finding the Fourth Proportional to 103,671.50, 143,083.95 and 78,477.26

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Solution

The fourth proportional to 103,671.50, 143,083.95 and 78,477.26 is: 108,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,671.50 : 143,083.95 = 78,477.26 : x
  2. Step 2: Convert to fraction form
    103,671.50/143,083.95 = 78,477.26/x
  3. Step 3: Cross multiply
    103,671.50x = 143,083.95 × 78,477.26
  4. Step 4: Simplify right side
    103,671.50x = 11,228,836,345.98
  5. Step 5: Solve for x
    x = 11,228,836,345.98/103,671.50
  6. Step 6: Final answer
    x = 108,311.70

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1.5x scale

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.