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Finding the Fourth Proportional to 155,970.75, 215,140.55 and 102,259.25

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Solution

The fourth proportional to 155,970.75, 215,140.55 and 102,259.25 is: 141,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,970.75 : 215,140.55 = 102,259.25 : x
  2. Step 2: Convert to fraction form
    155,970.75/215,140.55 = 102,259.25/x
  3. Step 3: Cross multiply
    155,970.75x = 215,140.55 × 102,259.25
  4. Step 4: Simplify right side
    155,970.75x = 22,000,111,287.59
  5. Step 5: Solve for x
    x = 22,000,111,287.59/155,970.75
  6. Step 6: Final answer
    x = 141,052.80

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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.