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Finding the Fourth Proportional to 208,340.93, 287,510.57 and 112,847.33

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Solution

The fourth proportional to 208,340.93, 287,510.57 and 112,847.33 is: 155,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,340.93 : 287,510.57 = 112,847.33 : x
  2. Step 2: Convert to fraction form
    208,340.93/287,510.57 = 112,847.33/x
  3. Step 3: Cross multiply
    208,340.93x = 287,510.57 × 112,847.33
  4. Step 4: Simplify right side
    208,340.93x = 32,444,799,607.04
  5. Step 5: Solve for x
    x = 32,444,799,607.04/208,340.93
  6. Step 6: Final answer
    x = 155,729.36

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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.