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Finding the Fourth Proportional to 101,256, 139,731.84 and 58,838.40

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Solution

The fourth proportional to 101,256, 139,731.84 and 58,838.40 is: 81,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,256 : 139,731.84 = 58,838.40 : x
  2. Step 2: Convert to fraction form
    101,256/139,731.84 = 58,838.40/x
  3. Step 3: Cross multiply
    101,256x = 139,731.84 × 58,838.40
  4. Step 4: Simplify right side
    101,256x = 8,221,597,894.66
  5. Step 5: Solve for x
    x = 8,221,597,894.66/101,256
  6. Step 6: Final answer
    x = 81,196.16

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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.