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Finding the Fourth Proportional to 208,442.21, 287,642.52 and 112,946.85

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Solution

The fourth proportional to 208,442.21, 287,642.52 and 112,946.85 is: 155,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,442.21 : 287,642.52 = 112,946.85 : x
  2. Step 2: Convert to fraction form
    208,442.21/287,642.52 = 112,946.85/x
  3. Step 3: Cross multiply
    208,442.21x = 287,642.52 × 112,946.85
  4. Step 4: Simplify right side
    208,442.21x = 32,488,316,560.06
  5. Step 5: Solve for x
    x = 32,488,316,560.06/208,442.21
  6. Step 6: Final answer
    x = 155,862.47

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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.