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Finding the Fourth Proportional to 102,661, 153,964.76 and 43,466.20

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Solution

The fourth proportional to 102,661, 153,964.76 and 43,466.20 is: 65,187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,661 : 153,964.76 = 43,466.20 : x
  2. Step 2: Convert to fraction form
    102,661/153,964.76 = 43,466.20/x
  3. Step 3: Cross multiply
    102,661x = 153,964.76 × 43,466.20
  4. Step 4: Simplify right side
    102,661x = 6,692,263,051.11
  5. Step 5: Solve for x
    x = 6,692,263,051.11/102,661
  6. Step 6: Final answer
    x = 65,187.98

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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.