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Finding the Fourth Proportional to 145,709.68, 218,554.47 and 89,558.46

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Solution

The fourth proportional to 145,709.68, 218,554.47 and 89,558.46 is: 134,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,709.68 : 218,554.47 = 89,558.46 : x
  2. Step 2: Convert to fraction form
    145,709.68/218,554.47 = 89,558.46/x
  3. Step 3: Cross multiply
    145,709.68x = 218,554.47 × 89,558.46
  4. Step 4: Simplify right side
    145,709.68x = 19,573,401,759.32
  5. Step 5: Solve for x
    x = 19,573,401,759.32/145,709.68
  6. Step 6: Final answer
    x = 134,331.51

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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.