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Finding the Fourth Proportional to 65,146.51, 97,720.16 and 18,399.79

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Solution

The fourth proportional to 65,146.51, 97,720.16 and 18,399.79 is: 27,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.51 : 97,720.16 = 18,399.79 : x
  2. Step 2: Convert to fraction form
    65,146.51/97,720.16 = 18,399.79/x
  3. Step 3: Cross multiply
    65,146.51x = 97,720.16 × 18,399.79
  4. Step 4: Simplify right side
    65,146.51x = 1,798,030,330.77
  5. Step 5: Solve for x
    x = 1,798,030,330.77/65,146.51
  6. Step 6: Final answer
    x = 27,599.80

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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.