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Finding the Fourth Proportional to 208,013.80, 311,502.30 and 166,541.80

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Solution

The fourth proportional to 208,013.80, 311,502.30 and 166,541.80 is: 249,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,013.80 : 311,502.30 = 166,541.80 : x
  2. Step 2: Convert to fraction form
    208,013.80/311,502.30 = 166,541.80/x
  3. Step 3: Cross multiply
    208,013.80x = 311,502.30 × 166,541.80
  4. Step 4: Simplify right side
    208,013.80x = 51,878,153,746.14
  5. Step 5: Solve for x
    x = 51,878,153,746.14/208,013.80
  6. Step 6: Final answer
    x = 249,397.65

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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.