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Finding the Fourth Proportional to 210,692.85, 315,866.13 and 98,317.50

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Solution

The fourth proportional to 210,692.85, 315,866.13 and 98,317.50 is: 147,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,692.85 : 315,866.13 = 98,317.50 : x
  2. Step 2: Convert to fraction form
    210,692.85/315,866.13 = 98,317.50/x
  3. Step 3: Cross multiply
    210,692.85x = 315,866.13 × 98,317.50
  4. Step 4: Simplify right side
    210,692.85x = 31,055,167,236.12
  5. Step 5: Solve for x
    x = 31,055,167,236.12/210,692.85
  6. Step 6: Final answer
    x = 147,395.45

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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.