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Finding the Fourth Proportional to 137,130.54, 189,235.56 and 75,876.84

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Solution

The fourth proportional to 137,130.54, 189,235.56 and 75,876.84 is: 104,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,130.54 : 189,235.56 = 75,876.84 : x
  2. Step 2: Convert to fraction form
    137,130.54/189,235.56 = 75,876.84/x
  3. Step 3: Cross multiply
    137,130.54x = 189,235.56 × 75,876.84
  4. Step 4: Simplify right side
    137,130.54x = 14,358,596,308.43
  5. Step 5: Solve for x
    x = 14,358,596,308.43/137,130.54
  6. Step 6: Final answer
    x = 104,707.50

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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.