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Finding the Fourth Proportional to 285,875.16, 428,821.63 and 106,005.34

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Solution

The fourth proportional to 285,875.16, 428,821.63 and 106,005.34 is: 159,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,875.16 : 428,821.63 = 106,005.34 : x
  2. Step 2: Convert to fraction form
    285,875.16/428,821.63 = 106,005.34/x
  3. Step 3: Cross multiply
    285,875.16x = 428,821.63 × 106,005.34
  4. Step 4: Simplify right side
    285,875.16x = 45,457,382,958.52
  5. Step 5: Solve for x
    x = 45,457,382,958.52/285,875.16
  6. Step 6: Final answer
    x = 159,011.31

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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.