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Finding the Fourth Proportional to 77,916.98, 116,896.59 and 65,407.22

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Solution

The fourth proportional to 77,916.98, 116,896.59 and 65,407.22 is: 98,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,916.98 : 116,896.59 = 65,407.22 : x
  2. Step 2: Convert to fraction form
    77,916.98/116,896.59 = 65,407.22/x
  3. Step 3: Cross multiply
    77,916.98x = 116,896.59 × 65,407.22
  4. Step 4: Simplify right side
    77,916.98x = 7,645,880,979.38
  5. Step 5: Solve for x
    x = 7,645,880,979.38/77,916.98
  6. Step 6: Final answer
    x = 98,128.56

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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.