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Finding the Fourth Proportional to 161,745, 223,205.10 and 90,123.48

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Solution

The fourth proportional to 161,745, 223,205.10 and 90,123.48 is: 124,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,745 : 223,205.10 = 90,123.48 : x
  2. Step 2: Convert to fraction form
    161,745/223,205.10 = 90,123.48/x
  3. Step 3: Cross multiply
    161,745x = 223,205.10 × 90,123.48
  4. Step 4: Simplify right side
    161,745x = 20,116,020,365.75
  5. Step 5: Solve for x
    x = 20,116,020,365.75/161,745
  6. Step 6: Final answer
    x = 124,368.73

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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.