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Finding the Fourth Proportional to 98,408, 135,802.32 and 55,966.48

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Solution

The fourth proportional to 98,408, 135,802.32 and 55,966.48 is: 77,233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,408 : 135,802.32 = 55,966.48 : x
  2. Step 2: Convert to fraction form
    98,408/135,802.32 = 55,966.48/x
  3. Step 3: Cross multiply
    98,408x = 135,802.32 × 55,966.48
  4. Step 4: Simplify right side
    98,408x = 7,600,377,826.23
  5. Step 5: Solve for x
    x = 7,600,377,826.23/98,408
  6. Step 6: Final answer
    x = 77,233.33

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1.5x scale

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.