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Finding the Fourth Proportional to 149,507.40, 223,823.70 and 99,643.80

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Solution

The fourth proportional to 149,507.40, 223,823.70 and 99,643.80 is: 149,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,507.40 : 223,823.70 = 99,643.80 : x
  2. Step 2: Convert to fraction form
    149,507.40/223,823.70 = 99,643.80/x
  3. Step 3: Cross multiply
    149,507.40x = 223,823.70 × 99,643.80
  4. Step 4: Simplify right side
    149,507.40x = 22,302,643,998.06
  5. Step 5: Solve for x
    x = 22,302,643,998.06/149,507.40
  6. Step 6: Final answer
    x = 149,174.18

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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.