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Finding the Fourth Proportional to 294,700.50, 442,050.75 and 107,712

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Solution

The fourth proportional to 294,700.50, 442,050.75 and 107,712 is: 161,568

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,700.50 : 442,050.75 = 107,712 : x
  2. Step 2: Convert to fraction form
    294,700.50/442,050.75 = 107,712/x
  3. Step 3: Cross multiply
    294,700.50x = 442,050.75 × 107,712
  4. Step 4: Simplify right side
    294,700.50x = 47,614,170,384
  5. Step 5: Solve for x
    x = 47,614,170,384/294,700.50
  6. Step 6: Final answer
    x = 161,568

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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.