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Finding the Fourth Proportional to 282,120.77, 423,179.74 and 99,886.77

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Solution

The fourth proportional to 282,120.77, 423,179.74 and 99,886.77 is: 149,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,120.77 : 423,179.74 = 99,886.77 : x
  2. Step 2: Convert to fraction form
    282,120.77/423,179.74 = 99,886.77/x
  3. Step 3: Cross multiply
    282,120.77x = 423,179.74 × 99,886.77
  4. Step 4: Simplify right side
    282,120.77x = 42,270,057,482.90
  5. Step 5: Solve for x
    x = 42,270,057,482.90/282,120.77
  6. Step 6: Final answer
    x = 149,829.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.