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Finding the Fourth Proportional to 65,307.66, 90,125.64 and 37,012.74

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Solution

The fourth proportional to 65,307.66, 90,125.64 and 37,012.74 is: 51,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,307.66 : 90,125.64 = 37,012.74 : x
  2. Step 2: Convert to fraction form
    65,307.66/90,125.64 = 37,012.74/x
  3. Step 3: Cross multiply
    65,307.66x = 90,125.64 × 37,012.74
  4. Step 4: Simplify right side
    65,307.66x = 3,335,796,880.65
  5. Step 5: Solve for x
    x = 3,335,796,880.65/65,307.66
  6. Step 6: Final answer
    x = 51,078.19

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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.