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Finding the Fourth Proportional to 208,077.68, 287,056.07 and 121,993.11

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Solution

The fourth proportional to 208,077.68, 287,056.07 and 121,993.11 is: 168,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,077.68 : 287,056.07 = 121,993.11 : x
  2. Step 2: Convert to fraction form
    208,077.68/287,056.07 = 121,993.11/x
  3. Step 3: Cross multiply
    208,077.68x = 287,056.07 × 121,993.11
  4. Step 4: Simplify right side
    208,077.68x = 35,018,862,113.71
  5. Step 5: Solve for x
    x = 35,018,862,113.71/208,077.68
  6. Step 6: Final answer
    x = 168,297.06

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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.