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Finding the Fourth Proportional to 257,692.55, 355,603.71 and 142,969.97

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Solution

The fourth proportional to 257,692.55, 355,603.71 and 142,969.97 is: 197,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,692.55 : 355,603.71 = 142,969.97 : x
  2. Step 2: Convert to fraction form
    257,692.55/355,603.71 = 142,969.97/x
  3. Step 3: Cross multiply
    257,692.55x = 355,603.71 × 142,969.97
  4. Step 4: Simplify right side
    257,692.55x = 50,840,652,639.60
  5. Step 5: Solve for x
    x = 50,840,652,639.60/257,692.55
  6. Step 6: Final answer
    x = 197,291.90

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1.5x scale

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.