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Finding the Fourth Proportional to 65,689.84, 98,526.12 and 18,308.08

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Solution

The fourth proportional to 65,689.84, 98,526.12 and 18,308.08 is: 27,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,689.84 : 98,526.12 = 18,308.08 : x
  2. Step 2: Convert to fraction form
    65,689.84/98,526.12 = 18,308.08/x
  3. Step 3: Cross multiply
    65,689.84x = 98,526.12 × 18,308.08
  4. Step 4: Simplify right side
    65,689.84x = 1,803,824,087.05
  5. Step 5: Solve for x
    x = 1,803,824,087.05/65,689.84
  6. Step 6: Final answer
    x = 27,459.71

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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.