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Finding the Fourth Proportional to 78,145.79, 117,223.94 and 38,692.31

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Solution

The fourth proportional to 78,145.79, 117,223.94 and 38,692.31 is: 58,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,145.79 : 117,223.94 = 38,692.31 : x
  2. Step 2: Convert to fraction form
    78,145.79/117,223.94 = 38,692.31/x
  3. Step 3: Cross multiply
    78,145.79x = 117,223.94 × 38,692.31
  4. Step 4: Simplify right side
    78,145.79x = 4,535,664,536.51
  5. Step 5: Solve for x
    x = 4,535,664,536.51/78,145.79
  6. Step 6: Final answer
    x = 58,041.06

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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.