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Finding the Fourth Proportional to 65,309.95, 97,971 and 23,185.90

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Solution

The fourth proportional to 65,309.95, 97,971 and 23,185.90 is: 34,781.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,309.95 : 97,971 = 23,185.90 : x
  2. Step 2: Convert to fraction form
    65,309.95/97,971 = 23,185.90/x
  3. Step 3: Cross multiply
    65,309.95x = 97,971 × 23,185.90
  4. Step 4: Simplify right side
    65,309.95x = 2,271,545,808.90
  5. Step 5: Solve for x
    x = 2,271,545,808.90/65,309.95
  6. Step 6: Final answer
    x = 34,781.01

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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.