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Finding the Fourth Proportional to 99,543.63, 137,370.21 and 54,831.63

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Solution

The fourth proportional to 99,543.63, 137,370.21 and 54,831.63 is: 75,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,543.63 : 137,370.21 = 54,831.63 : x
  2. Step 2: Convert to fraction form
    99,543.63/137,370.21 = 54,831.63/x
  3. Step 3: Cross multiply
    99,543.63x = 137,370.21 × 54,831.63
  4. Step 4: Simplify right side
    99,543.63x = 7,532,231,840.89
  5. Step 5: Solve for x
    x = 7,532,231,840.89/99,543.63
  6. Step 6: Final answer
    x = 75,667.65

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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.