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Finding the Fourth Proportional to 66,209.51, 99,358 and 31,151.90

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Solution

The fourth proportional to 66,209.51, 99,358 and 31,151.90 is: 46,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,209.51 : 99,358 = 31,151.90 : x
  2. Step 2: Convert to fraction form
    66,209.51/99,358 = 31,151.90/x
  3. Step 3: Cross multiply
    66,209.51x = 99,358 × 31,151.90
  4. Step 4: Simplify right side
    66,209.51x = 3,095,190,480.20
  5. Step 5: Solve for x
    x = 3,095,190,480.20/66,209.51
  6. Step 6: Final answer
    x = 46,748.43

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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.