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Finding the Fourth Proportional to 161,807.52, 223,301.96 and 90,188

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Solution

The fourth proportional to 161,807.52, 223,301.96 and 90,188 is: 124,463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,807.52 : 223,301.96 = 90,188 : x
  2. Step 2: Convert to fraction form
    161,807.52/223,301.96 = 90,188/x
  3. Step 3: Cross multiply
    161,807.52x = 223,301.96 × 90,188
  4. Step 4: Simplify right side
    161,807.52x = 20,139,157,168.48
  5. Step 5: Solve for x
    x = 20,139,157,168.48/161,807.52
  6. Step 6: Final answer
    x = 124,463.67

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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.