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Finding the Fourth Proportional to 70,457.04, 105,714.72 and 39,285

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Solution

The fourth proportional to 70,457.04, 105,714.72 and 39,285 is: 58,943.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,457.04 : 105,714.72 = 39,285 : x
  2. Step 2: Convert to fraction form
    70,457.04/105,714.72 = 39,285/x
  3. Step 3: Cross multiply
    70,457.04x = 105,714.72 × 39,285
  4. Step 4: Simplify right side
    70,457.04x = 4,153,002,775.20
  5. Step 5: Solve for x
    x = 4,153,002,775.20/70,457.04
  6. Step 6: Final answer
    x = 58,943.76

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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.