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Finding the Fourth Proportional to 208,440.90, 287,648.69 and 112,946.76

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Solution

The fourth proportional to 208,440.90, 287,648.69 and 112,946.76 is: 155,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,440.90 : 287,648.69 = 112,946.76 : x
  2. Step 2: Convert to fraction form
    208,440.90/287,648.69 = 112,946.76/x
  3. Step 3: Cross multiply
    208,440.90x = 287,648.69 × 112,946.76
  4. Step 4: Simplify right side
    208,440.90x = 32,488,986,989.01
  5. Step 5: Solve for x
    x = 32,488,986,989.01/208,440.90
  6. Step 6: Final answer
    x = 155,866.66

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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.