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Finding the Fourth Proportional to 97,859.38, 135,049.12 and 55,417

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Solution

The fourth proportional to 97,859.38, 135,049.12 and 55,417 is: 76,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,859.38 : 135,049.12 = 55,417 : x
  2. Step 2: Convert to fraction form
    97,859.38/135,049.12 = 55,417/x
  3. Step 3: Cross multiply
    97,859.38x = 135,049.12 × 55,417
  4. Step 4: Simplify right side
    97,859.38x = 7,484,017,083.04
  5. Step 5: Solve for x
    x = 7,484,017,083.04/97,859.38
  6. Step 6: Final answer
    x = 76,477.26

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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.