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Finding the Fourth Proportional to 145,098.52, 200,276.22 and 84,681.88

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Solution

The fourth proportional to 145,098.52, 200,276.22 and 84,681.88 is: 116,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,098.52 : 200,276.22 = 84,681.88 : x
  2. Step 2: Convert to fraction form
    145,098.52/200,276.22 = 84,681.88/x
  3. Step 3: Cross multiply
    145,098.52x = 200,276.22 × 84,681.88
  4. Step 4: Simplify right side
    145,098.52x = 16,959,766,828.89
  5. Step 5: Solve for x
    x = 16,959,766,828.89/145,098.52
  6. Step 6: Final answer
    x = 116,884.49

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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.