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Finding the Fourth Proportional to 147,206.25, 220,813.02 and 53,712

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Solution

The fourth proportional to 147,206.25, 220,813.02 and 53,712 is: 80,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,206.25 : 220,813.02 = 53,712 : x
  2. Step 2: Convert to fraction form
    147,206.25/220,813.02 = 53,712/x
  3. Step 3: Cross multiply
    147,206.25x = 220,813.02 × 53,712
  4. Step 4: Simplify right side
    147,206.25x = 11,860,308,930.24
  5. Step 5: Solve for x
    x = 11,860,308,930.24/147,206.25
  6. Step 6: Final answer
    x = 80,569.33

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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.