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Finding the Fourth Proportional to 208,510.34, 287,748.68 and 117,860.85

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Solution

The fourth proportional to 208,510.34, 287,748.68 and 117,860.85 is: 162,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,510.34 : 287,748.68 = 117,860.85 : x
  2. Step 2: Convert to fraction form
    208,510.34/287,748.68 = 117,860.85/x
  3. Step 3: Cross multiply
    208,510.34x = 287,748.68 × 117,860.85
  4. Step 4: Simplify right side
    208,510.34x = 33,914,303,421.87
  5. Step 5: Solve for x
    x = 33,914,303,421.87/208,510.34
  6. Step 6: Final answer
    x = 162,650.47

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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.