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Finding the Fourth Proportional to 105,606.56, 145,644 and 65,313.92

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Solution

The fourth proportional to 105,606.56, 145,644 and 65,313.92 is: 90,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,606.56 : 145,644 = 65,313.92 : x
  2. Step 2: Convert to fraction form
    105,606.56/145,644 = 65,313.92/x
  3. Step 3: Cross multiply
    105,606.56x = 145,644 × 65,313.92
  4. Step 4: Simplify right side
    105,606.56x = 9,512,580,564.48
  5. Step 5: Solve for x
    x = 9,512,580,564.48/105,606.56
  6. Step 6: Final answer
    x = 90,075.66

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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.