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Finding the Fourth Proportional to 137,649.41, 189,957.48 and 77,221.35

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Solution

The fourth proportional to 137,649.41, 189,957.48 and 77,221.35 is: 106,566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,649.41 : 189,957.48 = 77,221.35 : x
  2. Step 2: Convert to fraction form
    137,649.41/189,957.48 = 77,221.35/x
  3. Step 3: Cross multiply
    137,649.41x = 189,957.48 × 77,221.35
  4. Step 4: Simplify right side
    137,649.41x = 14,668,772,539.07
  5. Step 5: Solve for x
    x = 14,668,772,539.07/137,649.41
  6. Step 6: Final answer
    x = 106,566.19

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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.