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Finding the Fourth Proportional to 175,963, 242,829.30 and 100,511.32

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Solution

The fourth proportional to 175,963, 242,829.30 and 100,511.32 is: 138,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,963 : 242,829.30 = 100,511.32 : x
  2. Step 2: Convert to fraction form
    175,963/242,829.30 = 100,511.32/x
  3. Step 3: Cross multiply
    175,963x = 242,829.30 × 100,511.32
  4. Step 4: Simplify right side
    175,963x = 24,407,093,477.68
  5. Step 5: Solve for x
    x = 24,407,093,477.68/175,963
  6. Step 6: Final answer
    x = 138,705.83

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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.