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Finding the Fourth Proportional to 208,053.16, 287,140.65 and 154,491.10

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Solution

The fourth proportional to 208,053.16, 287,140.65 and 154,491.10 is: 213,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,053.16 : 287,140.65 = 154,491.10 : x
  2. Step 2: Convert to fraction form
    208,053.16/287,140.65 = 154,491.10/x
  3. Step 3: Cross multiply
    208,053.16x = 287,140.65 × 154,491.10
  4. Step 4: Simplify right side
    208,053.16x = 44,360,673,576.02
  5. Step 5: Solve for x
    x = 44,360,673,576.02/208,053.16
  6. Step 6: Final answer
    x = 213,217.98

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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.