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Finding the Fourth Proportional to 208,141.25, 287,235.08 and 112,648.02

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Solution

The fourth proportional to 208,141.25, 287,235.08 and 112,648.02 is: 155,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,141.25 : 287,235.08 = 112,648.02 : x
  2. Step 2: Convert to fraction form
    208,141.25/287,235.08 = 112,648.02/x
  3. Step 3: Cross multiply
    208,141.25x = 287,235.08 × 112,648.02
  4. Step 4: Simplify right side
    208,141.25x = 32,356,461,818.60
  5. Step 5: Solve for x
    x = 32,356,461,818.60/208,141.25
  6. Step 6: Final answer
    x = 155,454.35

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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.