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Finding the Fourth Proportional to 137,696.98, 190,006.40 and 77,255.06

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Solution

The fourth proportional to 137,696.98, 190,006.40 and 77,255.06 is: 106,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,696.98 : 190,006.40 = 77,255.06 : x
  2. Step 2: Convert to fraction form
    137,696.98/190,006.40 = 77,255.06/x
  3. Step 3: Cross multiply
    137,696.98x = 190,006.40 × 77,255.06
  4. Step 4: Simplify right side
    137,696.98x = 14,678,955,832.38
  5. Step 5: Solve for x
    x = 14,678,955,832.38/137,696.98
  6. Step 6: Final answer
    x = 106,603.32

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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.