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Finding the Fourth Proportional to 74,692.81, 103,075.14 and 40,702.78

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Solution

The fourth proportional to 74,692.81, 103,075.14 and 40,702.78 is: 56,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,692.81 : 103,075.14 = 40,702.78 : x
  2. Step 2: Convert to fraction form
    74,692.81/103,075.14 = 40,702.78/x
  3. Step 3: Cross multiply
    74,692.81x = 103,075.14 × 40,702.78
  4. Step 4: Simplify right side
    74,692.81x = 4,195,444,746.89
  5. Step 5: Solve for x
    x = 4,195,444,746.89/74,692.81
  6. Step 6: Final answer
    x = 56,169.33

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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.