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Finding the Fourth Proportional to 175,851.78, 242,669.78 and 100,400.28

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Solution

The fourth proportional to 175,851.78, 242,669.78 and 100,400.28 is: 138,549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,851.78 : 242,669.78 = 100,400.28 : x
  2. Step 2: Convert to fraction form
    175,851.78/242,669.78 = 100,400.28/x
  3. Step 3: Cross multiply
    175,851.78x = 242,669.78 × 100,400.28
  4. Step 4: Simplify right side
    175,851.78x = 24,364,113,859.54
  5. Step 5: Solve for x
    x = 24,364,113,859.54/175,851.78
  6. Step 6: Final answer
    x = 138,549.15

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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.