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Finding the Fourth Proportional to 134,574, 185,712.12 and 78,018.18

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Solution

The fourth proportional to 134,574, 185,712.12 and 78,018.18 is: 107,665.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,574 : 185,712.12 = 78,018.18 : x
  2. Step 2: Convert to fraction form
    134,574/185,712.12 = 78,018.18/x
  3. Step 3: Cross multiply
    134,574x = 185,712.12 × 78,018.18
  4. Step 4: Simplify right side
    134,574x = 14,488,921,606.34
  5. Step 5: Solve for x
    x = 14,488,921,606.34/134,574
  6. Step 6: Final answer
    x = 107,665.09

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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.