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Finding the Fourth Proportional to 165,513, 228,411.60 and 90,061.50

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Solution

The fourth proportional to 165,513, 228,411.60 and 90,061.50 is: 124,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,513 : 228,411.60 = 90,061.50 : x
  2. Step 2: Convert to fraction form
    165,513/228,411.60 = 90,061.50/x
  3. Step 3: Cross multiply
    165,513x = 228,411.60 × 90,061.50
  4. Step 4: Simplify right side
    165,513x = 20,571,091,313.40
  5. Step 5: Solve for x
    x = 20,571,091,313.40/165,513
  6. Step 6: Final answer
    x = 124,286.86

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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.