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Finding the Fourth Proportional to 65,502.36, 90,389.07 and 38,646

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Solution

The fourth proportional to 65,502.36, 90,389.07 and 38,646 is: 53,329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,502.36 : 90,389.07 = 38,646 : x
  2. Step 2: Convert to fraction form
    65,502.36/90,389.07 = 38,646/x
  3. Step 3: Cross multiply
    65,502.36x = 90,389.07 × 38,646
  4. Step 4: Simplify right side
    65,502.36x = 3,493,175,999.22
  5. Step 5: Solve for x
    x = 3,493,175,999.22/65,502.36
  6. Step 6: Final answer
    x = 53,329.01

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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.