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Finding the Fourth Proportional to 97,800, 134,966.88 and 53,090.88

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Solution

The fourth proportional to 97,800, 134,966.88 and 53,090.88 is: 73,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,800 : 134,966.88 = 53,090.88 : x
  2. Step 2: Convert to fraction form
    97,800/134,966.88 = 53,090.88/x
  3. Step 3: Cross multiply
    97,800x = 134,966.88 × 53,090.88
  4. Step 4: Simplify right side
    97,800x = 7,165,510,430.05
  5. Step 5: Solve for x
    x = 7,165,510,430.05/97,800
  6. Step 6: Final answer
    x = 73,266.98

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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.