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Finding the Fourth Proportional to 208,062.46, 312,140.55 and 65,916.34

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Solution

The fourth proportional to 208,062.46, 312,140.55 and 65,916.34 is: 98,889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,062.46 : 312,140.55 = 65,916.34 : x
  2. Step 2: Convert to fraction form
    208,062.46/312,140.55 = 65,916.34/x
  3. Step 3: Cross multiply
    208,062.46x = 312,140.55 × 65,916.34
  4. Step 4: Simplify right side
    208,062.46x = 20,575,162,621.59
  5. Step 5: Solve for x
    x = 20,575,162,621.59/208,062.46
  6. Step 6: Final answer
    x = 98,889.36

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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.