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Finding the Fourth Proportional to 102,405.67, 153,626.09 and 31,326.58

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Solution

The fourth proportional to 102,405.67, 153,626.09 and 31,326.58 is: 46,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,405.67 : 153,626.09 = 31,326.58 : x
  2. Step 2: Convert to fraction form
    102,405.67/153,626.09 = 31,326.58/x
  3. Step 3: Cross multiply
    102,405.67x = 153,626.09 × 31,326.58
  4. Step 4: Simplify right side
    102,405.67x = 4,812,579,457.77
  5. Step 5: Solve for x
    x = 4,812,579,457.77/102,405.67
  6. Step 6: Final answer
    x = 46,995.25

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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.