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Finding the Fourth Proportional to 208,613.86, 287,875.08 and 122,559.46

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Solution

The fourth proportional to 208,613.86, 287,875.08 and 122,559.46 is: 169,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,613.86 : 287,875.08 = 122,559.46 : x
  2. Step 2: Convert to fraction form
    208,613.86/287,875.08 = 122,559.46/x
  3. Step 3: Cross multiply
    208,613.86x = 287,875.08 × 122,559.46
  4. Step 4: Simplify right side
    208,613.86x = 35,281,814,352.26
  5. Step 5: Solve for x
    x = 35,281,814,352.26/208,613.86
  6. Step 6: Final answer
    x = 169,124.98

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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.