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Finding the Fourth Proportional to 90,435.69, 135,686.07 and 31,277.34

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Solution

The fourth proportional to 90,435.69, 135,686.07 and 31,277.34 is: 46,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,435.69 : 135,686.07 = 31,277.34 : x
  2. Step 2: Convert to fraction form
    90,435.69/135,686.07 = 31,277.34/x
  3. Step 3: Cross multiply
    90,435.69x = 135,686.07 × 31,277.34
  4. Step 4: Simplify right side
    90,435.69x = 4,243,899,344.65
  5. Step 5: Solve for x
    x = 4,243,899,344.65/90,435.69
  6. Step 6: Final answer
    x = 46,927.26

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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.