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Finding the Fourth Proportional to 216,664.32, 324,956.64 and 98,307.20

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Solution

The fourth proportional to 216,664.32, 324,956.64 and 98,307.20 is: 147,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,664.32 : 324,956.64 = 98,307.20 : x
  2. Step 2: Convert to fraction form
    216,664.32/324,956.64 = 98,307.20/x
  3. Step 3: Cross multiply
    216,664.32x = 324,956.64 × 98,307.20
  4. Step 4: Simplify right side
    216,664.32x = 31,945,577,399.81
  5. Step 5: Solve for x
    x = 31,945,577,399.81/216,664.32
  6. Step 6: Final answer
    x = 147,442.72

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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.