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Finding the Fourth Proportional to 75,963, 104,831.10 and 42,431.16

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Solution

The fourth proportional to 75,963, 104,831.10 and 42,431.16 is: 58,556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,963 : 104,831.10 = 42,431.16 : x
  2. Step 2: Convert to fraction form
    75,963/104,831.10 = 42,431.16/x
  3. Step 3: Cross multiply
    75,963x = 104,831.10 × 42,431.16
  4. Step 4: Simplify right side
    75,963x = 4,448,105,177.08
  5. Step 5: Solve for x
    x = 4,448,105,177.08/75,963
  6. Step 6: Final answer
    x = 58,556.21

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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.