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Finding the Fourth Proportional to 65,053.16, 97,578.40 and 20,680

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Solution

The fourth proportional to 65,053.16, 97,578.40 and 20,680 is: 31,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,053.16 : 97,578.40 = 20,680 : x
  2. Step 2: Convert to fraction form
    65,053.16/97,578.40 = 20,680/x
  3. Step 3: Cross multiply
    65,053.16x = 97,578.40 × 20,680
  4. Step 4: Simplify right side
    65,053.16x = 2,017,921,312.00
  5. Step 5: Solve for x
    x = 2,017,921,312.00/65,053.16
  6. Step 6: Final answer
    x = 31,019.57

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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.