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Finding the Fourth Proportional to 285,767.02, 428,666.73 and 86,114.98

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Solution

The fourth proportional to 285,767.02, 428,666.73 and 86,114.98 is: 129,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,767.02 : 428,666.73 = 86,114.98 : x
  2. Step 2: Convert to fraction form
    285,767.02/428,666.73 = 86,114.98/x
  3. Step 3: Cross multiply
    285,767.02x = 428,666.73 × 86,114.98
  4. Step 4: Simplify right side
    285,767.02x = 36,914,626,880.62
  5. Step 5: Solve for x
    x = 36,914,626,880.62/285,767.02
  6. Step 6: Final answer
    x = 129,177.35

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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.