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Finding the Fourth Proportional to 208,123, 287,210.60 and 112,629.68

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Solution

The fourth proportional to 208,123, 287,210.60 and 112,629.68 is: 155,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,123 : 287,210.60 = 112,629.68 : x
  2. Step 2: Convert to fraction form
    208,123/287,210.60 = 112,629.68/x
  3. Step 3: Cross multiply
    208,123x = 287,210.60 × 112,629.68
  4. Step 4: Simplify right side
    208,123x = 32,348,437,970.61
  5. Step 5: Solve for x
    x = 32,348,437,970.61/208,123
  6. Step 6: Final answer
    x = 155,429.42

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1.5x scale

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.