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Finding the Fourth Proportional to 272,075.76, 408,155.90 and 138,883.95

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Solution

The fourth proportional to 272,075.76, 408,155.90 and 138,883.95 is: 208,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,075.76 : 408,155.90 = 138,883.95 : x
  2. Step 2: Convert to fraction form
    272,075.76/408,155.90 = 138,883.95/x
  3. Step 3: Cross multiply
    272,075.76x = 408,155.90 × 138,883.95
  4. Step 4: Simplify right side
    272,075.76x = 56,686,302,913.39
  5. Step 5: Solve for x
    x = 56,686,302,913.39/272,075.76
  6. Step 6: Final answer
    x = 208,347.49

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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.