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Finding the Fourth Proportional to 157,692.80, 236,539.20 and 142,140.80

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Solution

The fourth proportional to 157,692.80, 236,539.20 and 142,140.80 is: 213,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,692.80 : 236,539.20 = 142,140.80 : x
  2. Step 2: Convert to fraction form
    157,692.80/236,539.20 = 142,140.80/x
  3. Step 3: Cross multiply
    157,692.80x = 236,539.20 × 142,140.80
  4. Step 4: Simplify right side
    157,692.80x = 33,621,871,119.36
  5. Step 5: Solve for x
    x = 33,621,871,119.36/157,692.80
  6. Step 6: Final answer
    x = 213,211.20

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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.