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Finding the Fourth Proportional to 162,564.80, 243,652.80 and 83,638.40

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Solution

The fourth proportional to 162,564.80, 243,652.80 and 83,638.40 is: 125,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,564.80 : 243,652.80 = 83,638.40 : x
  2. Step 2: Convert to fraction form
    162,564.80/243,652.80 = 83,638.40/x
  3. Step 3: Cross multiply
    162,564.80x = 243,652.80 × 83,638.40
  4. Step 4: Simplify right side
    162,564.80x = 20,378,730,347.52
  5. Step 5: Solve for x
    x = 20,378,730,347.52/162,564.80
  6. Step 6: Final answer
    x = 125,357.58

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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.