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Finding the Fourth Proportional to 105,580.42, 145,645.74 and 65,281.30

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Solution

The fourth proportional to 105,580.42, 145,645.74 and 65,281.30 is: 90,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,580.42 : 145,645.74 = 65,281.30 : x
  2. Step 2: Convert to fraction form
    105,580.42/145,645.74 = 65,281.30/x
  3. Step 3: Cross multiply
    105,580.42x = 145,645.74 × 65,281.30
  4. Step 4: Simplify right side
    105,580.42x = 9,507,943,246.66
  5. Step 5: Solve for x
    x = 9,507,943,246.66/105,580.42
  6. Step 6: Final answer
    x = 90,054.04

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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.