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Finding the Fourth Proportional to 208,509.99, 287,740.67 and 117,862.77

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Solution

The fourth proportional to 208,509.99, 287,740.67 and 117,862.77 is: 162,648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,509.99 : 287,740.67 = 117,862.77 : x
  2. Step 2: Convert to fraction form
    208,509.99/287,740.67 = 117,862.77/x
  3. Step 3: Cross multiply
    208,509.99x = 287,740.67 × 117,862.77
  4. Step 4: Simplify right side
    208,509.99x = 33,913,912,407.86
  5. Step 5: Solve for x
    x = 33,913,912,407.86/208,509.99
  6. Step 6: Final answer
    x = 162,648.86

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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.