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Finding the Fourth Proportional to 165,813, 228,823.56 and 90,363.12

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Solution

The fourth proportional to 165,813, 228,823.56 and 90,363.12 is: 124,701.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,813 : 228,823.56 = 90,363.12 : x
  2. Step 2: Convert to fraction form
    165,813/228,823.56 = 90,363.12/x
  3. Step 3: Cross multiply
    165,813x = 228,823.56 × 90,363.12
  4. Step 4: Simplify right side
    165,813x = 20,677,210,811.11
  5. Step 5: Solve for x
    x = 20,677,210,811.11/165,813
  6. Step 6: Final answer
    x = 124,701.99

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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.