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Finding the Fourth Proportional to 105,666.74, 145,835.04 and 65,393.48

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Solution

The fourth proportional to 105,666.74, 145,835.04 and 65,393.48 is: 90,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,666.74 : 145,835.04 = 65,393.48 : x
  2. Step 2: Convert to fraction form
    105,666.74/145,835.04 = 65,393.48/x
  3. Step 3: Cross multiply
    105,666.74x = 145,835.04 × 65,393.48
  4. Step 4: Simplify right side
    105,666.74x = 9,536,660,771.54
  5. Step 5: Solve for x
    x = 9,536,660,771.54/105,666.74
  6. Step 6: Final answer
    x = 90,252.25

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1.5x scale

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.