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Finding the Fourth Proportional to 98,118.72, 135,408 and 55,681.20

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Solution

The fourth proportional to 98,118.72, 135,408 and 55,681.20 is: 76,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,118.72 : 135,408 = 55,681.20 : x
  2. Step 2: Convert to fraction form
    98,118.72/135,408 = 55,681.20/x
  3. Step 3: Cross multiply
    98,118.72x = 135,408 × 55,681.20
  4. Step 4: Simplify right side
    98,118.72x = 7,539,679,929.60
  5. Step 5: Solve for x
    x = 7,539,679,929.60/98,118.72
  6. Step 6: Final answer
    x = 76,842.42

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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.