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Finding the Fourth Proportional to 137,848.30, 190,208.32 and 86,159.30

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Solution

The fourth proportional to 137,848.30, 190,208.32 and 86,159.30 is: 118,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,848.30 : 190,208.32 = 86,159.30 : x
  2. Step 2: Convert to fraction form
    137,848.30/190,208.32 = 86,159.30/x
  3. Step 3: Cross multiply
    137,848.30x = 190,208.32 × 86,159.30
  4. Step 4: Simplify right side
    137,848.30x = 16,388,214,538.94
  5. Step 5: Solve for x
    x = 16,388,214,538.94/137,848.30
  6. Step 6: Final answer
    x = 118,885.87

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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.