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Finding the Fourth Proportional to 208,439.93, 287,648.10 and 112,946.80

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Solution

The fourth proportional to 208,439.93, 287,648.10 and 112,946.80 is: 155,867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,439.93 : 287,648.10 = 112,946.80 : x
  2. Step 2: Convert to fraction form
    208,439.93/287,648.10 = 112,946.80/x
  3. Step 3: Cross multiply
    208,439.93x = 287,648.10 × 112,946.80
  4. Step 4: Simplify right side
    208,439.93x = 32,488,932,421.08
  5. Step 5: Solve for x
    x = 32,488,932,421.08/208,439.93
  6. Step 6: Final answer
    x = 155,867.12

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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.