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Finding the Fourth Proportional to 65,495.07, 90,379.26 and 38,646

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Solution

The fourth proportional to 65,495.07, 90,379.26 and 38,646 is: 53,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,495.07 : 90,379.26 = 38,646 : x
  2. Step 2: Convert to fraction form
    65,495.07/90,379.26 = 38,646/x
  3. Step 3: Cross multiply
    65,495.07x = 90,379.26 × 38,646
  4. Step 4: Simplify right side
    65,495.07x = 3,492,796,881.96
  5. Step 5: Solve for x
    x = 3,492,796,881.96/65,495.07
  6. Step 6: Final answer
    x = 53,329.16

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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.