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Finding the Fourth Proportional to 155,762.50, 214,952.08 and 84,142.50

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Solution

The fourth proportional to 155,762.50, 214,952.08 and 84,142.50 is: 116,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,762.50 : 214,952.08 = 84,142.50 : x
  2. Step 2: Convert to fraction form
    155,762.50/214,952.08 = 84,142.50/x
  3. Step 3: Cross multiply
    155,762.50x = 214,952.08 × 84,142.50
  4. Step 4: Simplify right side
    155,762.50x = 18,086,605,391.40
  5. Step 5: Solve for x
    x = 18,086,605,391.40/155,762.50
  6. Step 6: Final answer
    x = 116,116.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.