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Finding the Fourth Proportional to 99,543.94, 137,370.63 and 54,831.94

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Solution

The fourth proportional to 99,543.94, 137,370.63 and 54,831.94 is: 75,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,543.94 : 137,370.63 = 54,831.94 : x
  2. Step 2: Convert to fraction form
    99,543.94/137,370.63 = 54,831.94/x
  3. Step 3: Cross multiply
    99,543.94x = 137,370.63 × 54,831.94
  4. Step 4: Simplify right side
    99,543.94x = 7,532,298,004.12
  5. Step 5: Solve for x
    x = 7,532,298,004.12/99,543.94
  6. Step 6: Final answer
    x = 75,668.07

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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.