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Finding the Fourth Proportional to 210,027.67, 289,753.50 and 121,564.68

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Solution

The fourth proportional to 210,027.67, 289,753.50 and 121,564.68 is: 167,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,027.67 : 289,753.50 = 121,564.68 : x
  2. Step 2: Convert to fraction form
    210,027.67/289,753.50 = 121,564.68/x
  3. Step 3: Cross multiply
    210,027.67x = 289,753.50 × 121,564.68
  4. Step 4: Simplify right side
    210,027.67x = 35,223,791,506.38
  5. Step 5: Solve for x
    x = 35,223,791,506.38/210,027.67
  6. Step 6: Final answer
    x = 167,710.24

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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.