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Finding the Fourth Proportional to 438,172.75, 657,259.13 and 105,748.75

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Solution

The fourth proportional to 438,172.75, 657,259.13 and 105,748.75 is: 158,623.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,172.75 : 657,259.13 = 105,748.75 : x
  2. Step 2: Convert to fraction form
    438,172.75/657,259.13 = 105,748.75/x
  3. Step 3: Cross multiply
    438,172.75x = 657,259.13 × 105,748.75
  4. Step 4: Simplify right side
    438,172.75x = 69,504,331,423.59
  5. Step 5: Solve for x
    x = 69,504,331,423.59/438,172.75
  6. Step 6: Final answer
    x = 158,623.13

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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.