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Finding the Fourth Proportional to 97,431, 134,454.78 and 52,719

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Solution

The fourth proportional to 97,431, 134,454.78 and 52,719 is: 72,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,431 : 134,454.78 = 52,719 : x
  2. Step 2: Convert to fraction form
    97,431/134,454.78 = 52,719/x
  3. Step 3: Cross multiply
    97,431x = 134,454.78 × 52,719
  4. Step 4: Simplify right side
    97,431x = 7,088,321,546.82
  5. Step 5: Solve for x
    x = 7,088,321,546.82/97,431
  6. Step 6: Final answer
    x = 72,752.22

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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.