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Finding the Fourth Proportional to 208,042.40, 287,095.71 and 116,163.11

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Solution

The fourth proportional to 208,042.40, 287,095.71 and 116,163.11 is: 160,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,042.40 : 287,095.71 = 116,163.11 : x
  2. Step 2: Convert to fraction form
    208,042.40/287,095.71 = 116,163.11/x
  3. Step 3: Cross multiply
    208,042.40x = 287,095.71 × 116,163.11
  4. Step 4: Simplify right side
    208,042.40x = 33,349,930,541.26
  5. Step 5: Solve for x
    x = 33,349,930,541.26/208,042.40
  6. Step 6: Final answer
    x = 160,303.53

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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.