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Finding the Fourth Proportional to 220,897.83, 304,742.75 and 139,176.48

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Solution

The fourth proportional to 220,897.83, 304,742.75 and 139,176.48 is: 192,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,897.83 : 304,742.75 = 139,176.48 : x
  2. Step 2: Convert to fraction form
    220,897.83/304,742.75 = 139,176.48/x
  3. Step 3: Cross multiply
    220,897.83x = 304,742.75 × 139,176.48
  4. Step 4: Simplify right side
    220,897.83x = 42,413,021,726.81
  5. Step 5: Solve for x
    x = 42,413,021,726.81/220,897.83
  6. Step 6: Final answer
    x = 192,002.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.