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Finding the Fourth Proportional to 145,873.31, 201,324.89 and 85,468.06

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Solution

The fourth proportional to 145,873.31, 201,324.89 and 85,468.06 is: 117,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,873.31 : 201,324.89 = 85,468.06 : x
  2. Step 2: Convert to fraction form
    145,873.31/201,324.89 = 85,468.06/x
  3. Step 3: Cross multiply
    145,873.31x = 201,324.89 × 85,468.06
  4. Step 4: Simplify right side
    145,873.31x = 17,206,848,243.34
  5. Step 5: Solve for x
    x = 17,206,848,243.34/145,873.31
  6. Step 6: Final answer
    x = 117,957.49

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1.5x scale

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.