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Finding the Fourth Proportional to 208,636.64, 312,167.64 and 119,931.92

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Solution

The fourth proportional to 208,636.64, 312,167.64 and 119,931.92 is: 179,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,636.64 : 312,167.64 = 119,931.92 : x
  2. Step 2: Convert to fraction form
    208,636.64/312,167.64 = 119,931.92/x
  3. Step 3: Cross multiply
    208,636.64x = 312,167.64 × 119,931.92
  4. Step 4: Simplify right side
    208,636.64x = 37,438,864,427.07
  5. Step 5: Solve for x
    x = 37,438,864,427.07/208,636.64
  6. Step 6: Final answer
    x = 179,445.30

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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.