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Finding the Fourth Proportional to 145,615.28, 218,142.78 and 89,290.98

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Solution

The fourth proportional to 145,615.28, 218,142.78 and 89,290.98 is: 133,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,615.28 : 218,142.78 = 89,290.98 : x
  2. Step 2: Convert to fraction form
    145,615.28/218,142.78 = 89,290.98/x
  3. Step 3: Cross multiply
    145,615.28x = 218,142.78 × 89,290.98
  4. Step 4: Simplify right side
    145,615.28x = 19,478,182,606.12
  5. Step 5: Solve for x
    x = 19,478,182,606.12/145,615.28
  6. Step 6: Final answer
    x = 133,764.69

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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.