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Finding the Fourth Proportional to 251,856.80, 377,457.15 and 101,974.40

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Solution

The fourth proportional to 251,856.80, 377,457.15 and 101,974.40 is: 152,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,856.80 : 377,457.15 = 101,974.40 : x
  2. Step 2: Convert to fraction form
    251,856.80/377,457.15 = 101,974.40/x
  3. Step 3: Cross multiply
    251,856.80x = 377,457.15 × 101,974.40
  4. Step 4: Simplify right side
    251,856.80x = 38,490,966,396.96
  5. Step 5: Solve for x
    x = 38,490,966,396.96/251,856.80
  6. Step 6: Final answer
    x = 152,828.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.