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Finding the Fourth Proportional to 137,969.48, 190,399.54 and 77,536.58

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Solution

The fourth proportional to 137,969.48, 190,399.54 and 77,536.58 is: 107,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,969.48 : 190,399.54 = 77,536.58 : x
  2. Step 2: Convert to fraction form
    137,969.48/190,399.54 = 77,536.58/x
  3. Step 3: Cross multiply
    137,969.48x = 190,399.54 × 77,536.58
  4. Step 4: Simplify right side
    137,969.48x = 14,762,929,165.17
  5. Step 5: Solve for x
    x = 14,762,929,165.17/137,969.48
  6. Step 6: Final answer
    x = 107,001.41

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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.