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Finding the Fourth Proportional to 137,605.76, 189,903.62 and 103,553

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Solution

The fourth proportional to 137,605.76, 189,903.62 and 103,553 is: 142,908.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,605.76 : 189,903.62 = 103,553 : x
  2. Step 2: Convert to fraction form
    137,605.76/189,903.62 = 103,553/x
  3. Step 3: Cross multiply
    137,605.76x = 189,903.62 × 103,553
  4. Step 4: Simplify right side
    137,605.76x = 19,665,089,561.86
  5. Step 5: Solve for x
    x = 19,665,089,561.86/137,605.76
  6. Step 6: Final answer
    x = 142,908.91

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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.