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Finding the Fourth Proportional to 147,762.60, 221,783.10 and 77,692.20

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Solution

The fourth proportional to 147,762.60, 221,783.10 and 77,692.20 is: 116,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,762.60 : 221,783.10 = 77,692.20 : x
  2. Step 2: Convert to fraction form
    147,762.60/221,783.10 = 77,692.20/x
  3. Step 3: Cross multiply
    147,762.60x = 221,783.10 × 77,692.20
  4. Step 4: Simplify right side
    147,762.60x = 17,230,816,961.82
  5. Step 5: Solve for x
    x = 17,230,816,961.82/147,762.60
  6. Step 6: Final answer
    x = 116,611.49

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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.