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Finding the Fourth Proportional to 97,918, 135,127.20 and 53,206

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Solution

The fourth proportional to 97,918, 135,127.20 and 53,206 is: 73,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,918 : 135,127.20 = 53,206 : x
  2. Step 2: Convert to fraction form
    97,918/135,127.20 = 53,206/x
  3. Step 3: Cross multiply
    97,918x = 135,127.20 × 53,206
  4. Step 4: Simplify right side
    97,918x = 7,189,577,803.20
  5. Step 5: Solve for x
    x = 7,189,577,803.20/97,918
  6. Step 6: Final answer
    x = 73,424.48

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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.