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Finding the Fourth Proportional to 65,681.31, 90,640.32 and 37,387.00

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Solution

The fourth proportional to 65,681.31, 90,640.32 and 37,387.00 is: 51,594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,681.31 : 90,640.32 = 37,387.00 : x
  2. Step 2: Convert to fraction form
    65,681.31/90,640.32 = 37,387.00/x
  3. Step 3: Cross multiply
    65,681.31x = 90,640.32 × 37,387.00
  4. Step 4: Simplify right side
    65,681.31x = 3,388,769,730.24
  5. Step 5: Solve for x
    x = 3,388,769,730.24/65,681.31
  6. Step 6: Final answer
    x = 51,594.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.