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Finding the Fourth Proportional to 97,944, 135,162.72 and 58,200

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Solution

The fourth proportional to 97,944, 135,162.72 and 58,200 is: 80,316

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,944 : 135,162.72 = 58,200 : x
  2. Step 2: Convert to fraction form
    97,944/135,162.72 = 58,200/x
  3. Step 3: Cross multiply
    97,944x = 135,162.72 × 58,200
  4. Step 4: Simplify right side
    97,944x = 7,866,470,304
  5. Step 5: Solve for x
    x = 7,866,470,304/97,944
  6. Step 6: Final answer
    x = 80,316

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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.