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Finding the Fourth Proportional to 137,261.89, 205,871.57 and 37,430.20

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Solution

The fourth proportional to 137,261.89, 205,871.57 and 37,430.20 is: 56,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,261.89 : 205,871.57 = 37,430.20 : x
  2. Step 2: Convert to fraction form
    137,261.89/205,871.57 = 37,430.20/x
  3. Step 3: Cross multiply
    137,261.89x = 205,871.57 × 37,430.20
  4. Step 4: Simplify right side
    137,261.89x = 7,705,814,460.51
  5. Step 5: Solve for x
    x = 7,705,814,460.51/137,261.89
  6. Step 6: Final answer
    x = 56,139.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.