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Finding the Fourth Proportional to 65,325.16, 97,990.62 and 18,580.84

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Solution

The fourth proportional to 65,325.16, 97,990.62 and 18,580.84 is: 27,872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,325.16 : 97,990.62 = 18,580.84 : x
  2. Step 2: Convert to fraction form
    65,325.16/97,990.62 = 18,580.84/x
  3. Step 3: Cross multiply
    65,325.16x = 97,990.62 × 18,580.84
  4. Step 4: Simplify right side
    65,325.16x = 1,820,748,031.72
  5. Step 5: Solve for x
    x = 1,820,748,031.72/65,325.16
  6. Step 6: Final answer
    x = 27,872.08

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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.