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Finding the Fourth Proportional to 134,574.50, 185,712.81 and 78,018.68

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Solution

The fourth proportional to 134,574.50, 185,712.81 and 78,018.68 is: 107,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,574.50 : 185,712.81 = 78,018.68 : x
  2. Step 2: Convert to fraction form
    134,574.50/185,712.81 = 78,018.68/x
  3. Step 3: Cross multiply
    134,574.50x = 185,712.81 × 78,018.68
  4. Step 4: Simplify right side
    134,574.50x = 14,489,068,295.29
  5. Step 5: Solve for x
    x = 14,489,068,295.29/134,574.50
  6. Step 6: Final answer
    x = 107,665.78

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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.