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Finding the Fourth Proportional to 282,101.56, 423,152.80 and 99,867.96

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Solution

The fourth proportional to 282,101.56, 423,152.80 and 99,867.96 is: 149,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,101.56 : 423,152.80 = 99,867.96 : x
  2. Step 2: Convert to fraction form
    282,101.56/423,152.80 = 99,867.96/x
  3. Step 3: Cross multiply
    282,101.56x = 423,152.80 × 99,867.96
  4. Step 4: Simplify right side
    282,101.56x = 42,259,406,404.95
  5. Step 5: Solve for x
    x = 42,259,406,404.95/282,101.56
  6. Step 6: Final answer
    x = 149,802.10

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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.