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Finding the Fourth Proportional to 138,018, 190,410.88 and 77,574.78

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Solution

The fourth proportional to 138,018, 190,410.88 and 77,574.78 is: 107,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,018 : 190,410.88 = 77,574.78 : x
  2. Step 2: Convert to fraction form
    138,018/190,410.88 = 77,574.78/x
  3. Step 3: Cross multiply
    138,018x = 190,410.88 × 77,574.78
  4. Step 4: Simplify right side
    138,018x = 14,771,082,125.61
  5. Step 5: Solve for x
    x = 14,771,082,125.61/138,018
  6. Step 6: Final answer
    x = 107,022.87

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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.