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Finding the Fourth Proportional to 97,724, 134,859.84 and 53,012

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Solution

The fourth proportional to 97,724, 134,859.84 and 53,012 is: 73,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,724 : 134,859.84 = 53,012 : x
  2. Step 2: Convert to fraction form
    97,724/134,859.84 = 53,012/x
  3. Step 3: Cross multiply
    97,724x = 134,859.84 × 53,012
  4. Step 4: Simplify right side
    97,724x = 7,149,189,838.08
  5. Step 5: Solve for x
    x = 7,149,189,838.08/97,724
  6. Step 6: Final answer
    x = 73,156.95

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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.