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Finding the Fourth Proportional to 162,117, 243,176.58 and 51,309

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Solution

The fourth proportional to 162,117, 243,176.58 and 51,309 is: 76,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,117 : 243,176.58 = 51,309 : x
  2. Step 2: Convert to fraction form
    162,117/243,176.58 = 51,309/x
  3. Step 3: Cross multiply
    162,117x = 243,176.58 × 51,309
  4. Step 4: Simplify right side
    162,117x = 12,477,147,143.22
  5. Step 5: Solve for x
    x = 12,477,147,143.22/162,117
  6. Step 6: Final answer
    x = 76,963.84

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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.