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Finding the Fourth Proportional to 102,665.80, 154,056.30 and 43,491.40

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Solution

The fourth proportional to 102,665.80, 154,056.30 and 43,491.40 is: 65,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,665.80 : 154,056.30 = 43,491.40 : x
  2. Step 2: Convert to fraction form
    102,665.80/154,056.30 = 43,491.40/x
  3. Step 3: Cross multiply
    102,665.80x = 154,056.30 × 43,491.40
  4. Step 4: Simplify right side
    102,665.80x = 6,700,124,165.82
  5. Step 5: Solve for x
    x = 6,700,124,165.82/102,665.80
  6. Step 6: Final answer
    x = 65,261.50

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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.