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Finding the Fourth Proportional to 97,782, 134,939.18 and 53,070

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Solution

The fourth proportional to 97,782, 134,939.18 and 53,070 is: 73,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,782 : 134,939.18 = 53,070 : x
  2. Step 2: Convert to fraction form
    97,782/134,939.18 = 53,070/x
  3. Step 3: Cross multiply
    97,782x = 134,939.18 × 53,070
  4. Step 4: Simplify right side
    97,782x = 7,161,222,282.60
  5. Step 5: Solve for x
    x = 7,161,222,282.60/97,782
  6. Step 6: Final answer
    x = 73,236.61

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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.