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Finding the Fourth Proportional to 145,855, 218,848.38 and 83,525.50

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Solution

The fourth proportional to 145,855, 218,848.38 and 83,525.50 is: 125,325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,855 : 218,848.38 = 83,525.50 : x
  2. Step 2: Convert to fraction form
    145,855/218,848.38 = 83,525.50/x
  3. Step 3: Cross multiply
    145,855x = 218,848.38 × 83,525.50
  4. Step 4: Simplify right side
    145,855x = 18,279,420,363.69
  5. Step 5: Solve for x
    x = 18,279,420,363.69/145,855
  6. Step 6: Final answer
    x = 125,325.98

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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.