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Finding the Fourth Proportional to 145,551.48, 200,850.30 and 81,877.02

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Solution

The fourth proportional to 145,551.48, 200,850.30 and 81,877.02 is: 112,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,551.48 : 200,850.30 = 81,877.02 : x
  2. Step 2: Convert to fraction form
    145,551.48/200,850.30 = 81,877.02/x
  3. Step 3: Cross multiply
    145,551.48x = 200,850.30 × 81,877.02
  4. Step 4: Simplify right side
    145,551.48x = 16,445,024,030.11
  5. Step 5: Solve for x
    x = 16,445,024,030.11/145,551.48
  6. Step 6: Final answer
    x = 112,984.24

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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.