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Finding the Fourth Proportional to 65,916, 90,976.72 and 51,547.36

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Solution

The fourth proportional to 65,916, 90,976.72 and 51,547.36 is: 71,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,916 : 90,976.72 = 51,547.36 : x
  2. Step 2: Convert to fraction form
    65,916/90,976.72 = 51,547.36/x
  3. Step 3: Cross multiply
    65,916x = 90,976.72 × 51,547.36
  4. Step 4: Simplify right side
    65,916x = 4,689,609,737.46
  5. Step 5: Solve for x
    x = 4,689,609,737.46/65,916
  6. Step 6: Final answer
    x = 71,145.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.