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Finding the Fourth Proportional to 98,158.32, 135,465.48 and 55,719.59

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Solution

The fourth proportional to 98,158.32, 135,465.48 and 55,719.59 is: 76,897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,158.32 : 135,465.48 = 55,719.59 : x
  2. Step 2: Convert to fraction form
    98,158.32/135,465.48 = 55,719.59/x
  3. Step 3: Cross multiply
    98,158.32x = 135,465.48 × 55,719.59
  4. Step 4: Simplify right side
    98,158.32x = 7,548,080,327.43
  5. Step 5: Solve for x
    x = 7,548,080,327.43/98,158.32
  6. Step 6: Final answer
    x = 76,897.00

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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.