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Finding the Fourth Proportional to 135,695.40, 187,137.12 and 84,712.82

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Solution

The fourth proportional to 135,695.40, 187,137.12 and 84,712.82 is: 116,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,695.40 : 187,137.12 = 84,712.82 : x
  2. Step 2: Convert to fraction form
    135,695.40/187,137.12 = 84,712.82/x
  3. Step 3: Cross multiply
    135,695.40x = 187,137.12 × 84,712.82
  4. Step 4: Simplify right side
    135,695.40x = 15,852,913,161.88
  5. Step 5: Solve for x
    x = 15,852,913,161.88/135,695.40
  6. Step 6: Final answer
    x = 116,827.20

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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.