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Finding the Fourth Proportional to 162,045.76, 243,154 and 83,160

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Solution

The fourth proportional to 162,045.76, 243,154 and 83,160 is: 124,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,045.76 : 243,154 = 83,160 : x
  2. Step 2: Convert to fraction form
    162,045.76/243,154 = 83,160/x
  3. Step 3: Cross multiply
    162,045.76x = 243,154 × 83,160
  4. Step 4: Simplify right side
    162,045.76x = 20,220,686,640
  5. Step 5: Solve for x
    x = 20,220,686,640/162,045.76
  6. Step 6: Final answer
    x = 124,783.81

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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.