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Finding the Fourth Proportional to 97,780, 134,936.40 and 53,068

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Solution

The fourth proportional to 97,780, 134,936.40 and 53,068 is: 73,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,780 : 134,936.40 = 53,068 : x
  2. Step 2: Convert to fraction form
    97,780/134,936.40 = 53,068/x
  3. Step 3: Cross multiply
    97,780x = 134,936.40 × 53,068
  4. Step 4: Simplify right side
    97,780x = 7,160,804,875.20
  5. Step 5: Solve for x
    x = 7,160,804,875.20/97,780
  6. Step 6: Final answer
    x = 73,233.84

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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.