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Finding the Fourth Proportional to 65,706.72, 98,560.80 and 18,960

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Solution

The fourth proportional to 65,706.72, 98,560.80 and 18,960 is: 28,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,706.72 : 98,560.80 = 18,960 : x
  2. Step 2: Convert to fraction form
    65,706.72/98,560.80 = 18,960/x
  3. Step 3: Cross multiply
    65,706.72x = 98,560.80 × 18,960
  4. Step 4: Simplify right side
    65,706.72x = 1,868,712,768
  5. Step 5: Solve for x
    x = 1,868,712,768/65,706.72
  6. Step 6: Final answer
    x = 28,440.21

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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.