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Finding the Fourth Proportional to 105,662.74, 145,829.50 and 65,389.46

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Solution

The fourth proportional to 105,662.74, 145,829.50 and 65,389.46 is: 90,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,662.74 : 145,829.50 = 65,389.46 : x
  2. Step 2: Convert to fraction form
    105,662.74/145,829.50 = 65,389.46/x
  3. Step 3: Cross multiply
    105,662.74x = 145,829.50 × 65,389.46
  4. Step 4: Simplify right side
    105,662.74x = 9,535,712,257.07
  5. Step 5: Solve for x
    x = 9,535,712,257.07/105,662.74
  6. Step 6: Final answer
    x = 90,246.69

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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.