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Finding the Fourth Proportional to 130,692.56, 180,600.90 and 106,810.52

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Solution

The fourth proportional to 130,692.56, 180,600.90 and 106,810.52 is: 147,598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,692.56 : 180,600.90 = 106,810.52 : x
  2. Step 2: Convert to fraction form
    130,692.56/180,600.90 = 106,810.52/x
  3. Step 3: Cross multiply
    130,692.56x = 180,600.90 × 106,810.52
  4. Step 4: Simplify right side
    130,692.56x = 19,290,076,041.47
  5. Step 5: Solve for x
    x = 19,290,076,041.47/130,692.56
  6. Step 6: Final answer
    x = 147,598.88

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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.