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Finding the Fourth Proportional to 162,138, 223,746.08 and 90,516

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Solution

The fourth proportional to 162,138, 223,746.08 and 90,516 is: 124,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,138 : 223,746.08 = 90,516 : x
  2. Step 2: Convert to fraction form
    162,138/223,746.08 = 90,516/x
  3. Step 3: Cross multiply
    162,138x = 223,746.08 × 90,516
  4. Step 4: Simplify right side
    162,138x = 20,252,600,177.28
  5. Step 5: Solve for x
    x = 20,252,600,177.28/162,138
  6. Step 6: Final answer
    x = 124,909.65

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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.