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Finding the Fourth Proportional to 119,254, 178,965.24 and 56,929.36

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Solution

The fourth proportional to 119,254, 178,965.24 and 56,929.36 is: 85,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,254 : 178,965.24 = 56,929.36 : x
  2. Step 2: Convert to fraction form
    119,254/178,965.24 = 56,929.36/x
  3. Step 3: Cross multiply
    119,254x = 178,965.24 × 56,929.36
  4. Step 4: Simplify right side
    119,254x = 10,188,376,575.45
  5. Step 5: Solve for x
    x = 10,188,376,575.45/119,254
  6. Step 6: Final answer
    x = 85,434.25

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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.