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Finding the Fourth Proportional to 77,482.64, 116,204.76 and 21,320.01

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Solution

The fourth proportional to 77,482.64, 116,204.76 and 21,320.01 is: 31,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,482.64 : 116,204.76 = 21,320.01 : x
  2. Step 2: Convert to fraction form
    77,482.64/116,204.76 = 21,320.01/x
  3. Step 3: Cross multiply
    77,482.64x = 116,204.76 × 21,320.01
  4. Step 4: Simplify right side
    77,482.64x = 2,477,486,645.25
  5. Step 5: Solve for x
    x = 2,477,486,645.25/77,482.64
  6. Step 6: Final answer
    x = 31,974.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.