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Finding the Fourth Proportional to 165,585, 228,507.33 and 90,133.50

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Solution

The fourth proportional to 165,585, 228,507.33 and 90,133.50 is: 124,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,585 : 228,507.33 = 90,133.50 : x
  2. Step 2: Convert to fraction form
    165,585/228,507.33 = 90,133.50/x
  3. Step 3: Cross multiply
    165,585x = 228,507.33 × 90,133.50
  4. Step 4: Simplify right side
    165,585x = 20,596,165,428.56
  5. Step 5: Solve for x
    x = 20,596,165,428.56/165,585
  6. Step 6: Final answer
    x = 124,384.25

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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.