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Finding the Fourth Proportional to 145,461.69, 218,190.34 and 65,443.15

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Solution

The fourth proportional to 145,461.69, 218,190.34 and 65,443.15 is: 98,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,461.69 : 218,190.34 = 65,443.15 : x
  2. Step 2: Convert to fraction form
    145,461.69/218,190.34 = 65,443.15/x
  3. Step 3: Cross multiply
    145,461.69x = 218,190.34 × 65,443.15
  4. Step 4: Simplify right side
    145,461.69x = 14,279,062,058.22
  5. Step 5: Solve for x
    x = 14,279,062,058.22/145,461.69
  6. Step 6: Final answer
    x = 98,163.73

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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.