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Finding the Fourth Proportional to 99,533.88, 149,252.22 and 43,421.40

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Solution

The fourth proportional to 99,533.88, 149,252.22 and 43,421.40 is: 65,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,533.88 : 149,252.22 = 43,421.40 : x
  2. Step 2: Convert to fraction form
    99,533.88/149,252.22 = 43,421.40/x
  3. Step 3: Cross multiply
    99,533.88x = 149,252.22 × 43,421.40
  4. Step 4: Simplify right side
    99,533.88x = 6,480,740,345.51
  5. Step 5: Solve for x
    x = 6,480,740,345.51/99,533.88
  6. Step 6: Final answer
    x = 65,110.90

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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.