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Finding the Fourth Proportional to 123,931.60, 185,692.60 and 105,499.60

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Solution

The fourth proportional to 123,931.60, 185,692.60 and 105,499.60 is: 158,075.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,931.60 : 185,692.60 = 105,499.60 : x
  2. Step 2: Convert to fraction form
    123,931.60/185,692.60 = 105,499.60/x
  3. Step 3: Cross multiply
    123,931.60x = 185,692.60 × 105,499.60
  4. Step 4: Simplify right side
    123,931.60x = 19,590,495,022.96
  5. Step 5: Solve for x
    x = 19,590,495,022.96/123,931.60
  6. Step 6: Final answer
    x = 158,075.06

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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.