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Finding the Fourth Proportional to 137,701, 190,345.71 and 114,907.60

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Solution

The fourth proportional to 137,701, 190,345.71 and 114,907.60 is: 158,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,701 : 190,345.71 = 114,907.60 : x
  2. Step 2: Convert to fraction form
    137,701/190,345.71 = 114,907.60/x
  3. Step 3: Cross multiply
    137,701x = 190,345.71 × 114,907.60
  4. Step 4: Simplify right side
    137,701x = 21,872,168,706.40
  5. Step 5: Solve for x
    x = 21,872,168,706.40/137,701
  6. Step 6: Final answer
    x = 158,838.13

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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.