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Finding the Fourth Proportional to 138,484.56, 191,048.76 and 87,461.82

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Solution

The fourth proportional to 138,484.56, 191,048.76 and 87,461.82 is: 120,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,484.56 : 191,048.76 = 87,461.82 : x
  2. Step 2: Convert to fraction form
    138,484.56/191,048.76 = 87,461.82/x
  3. Step 3: Cross multiply
    138,484.56x = 191,048.76 × 87,461.82
  4. Step 4: Simplify right side
    138,484.56x = 16,709,472,258.34
  5. Step 5: Solve for x
    x = 16,709,472,258.34/138,484.56
  6. Step 6: Final answer
    x = 120,659.46

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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.