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Finding the Fourth Proportional to 78,692.64, 118,013.40 and 26,088

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Solution

The fourth proportional to 78,692.64, 118,013.40 and 26,088 is: 39,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,692.64 : 118,013.40 = 26,088 : x
  2. Step 2: Convert to fraction form
    78,692.64/118,013.40 = 26,088/x
  3. Step 3: Cross multiply
    78,692.64x = 118,013.40 × 26,088
  4. Step 4: Simplify right side
    78,692.64x = 3,078,733,579.20
  5. Step 5: Solve for x
    x = 3,078,733,579.20/78,692.64
  6. Step 6: Final answer
    x = 39,123.53

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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.