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Finding the Fourth Proportional to 282,041.60, 423,081.60 and 89,900.80

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Solution

The fourth proportional to 282,041.60, 423,081.60 and 89,900.80 is: 134,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,041.60 : 423,081.60 = 89,900.80 : x
  2. Step 2: Convert to fraction form
    282,041.60/423,081.60 = 89,900.80/x
  3. Step 3: Cross multiply
    282,041.60x = 423,081.60 × 89,900.80
  4. Step 4: Simplify right side
    282,041.60x = 38,035,374,305.28
  5. Step 5: Solve for x
    x = 38,035,374,305.28/282,041.60
  6. Step 6: Final answer
    x = 134,857.32

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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.