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Finding the Fourth Proportional to 145,542.66, 200,848.50 and 81,880.49

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Solution

The fourth proportional to 145,542.66, 200,848.50 and 81,880.49 is: 112,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,542.66 : 200,848.50 = 81,880.49 : x
  2. Step 2: Convert to fraction form
    145,542.66/200,848.50 = 81,880.49/x
  3. Step 3: Cross multiply
    145,542.66x = 200,848.50 × 81,880.49
  4. Step 4: Simplify right side
    145,542.66x = 16,445,572,591.52
  5. Step 5: Solve for x
    x = 16,445,572,591.52/145,542.66
  6. Step 6: Final answer
    x = 112,994.86

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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.