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Finding the Fourth Proportional to 97,870, 135,060.74 and 53,158

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Solution

The fourth proportional to 97,870, 135,060.74 and 53,158 is: 73,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,870 : 135,060.74 = 53,158 : x
  2. Step 2: Convert to fraction form
    97,870/135,060.74 = 53,158/x
  3. Step 3: Cross multiply
    97,870x = 135,060.74 × 53,158
  4. Step 4: Simplify right side
    97,870x = 7,179,558,816.92
  5. Step 5: Solve for x
    x = 7,179,558,816.92/97,870
  6. Step 6: Final answer
    x = 73,358.12

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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.