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Finding the Fourth Proportional to 162,144.40, 243,154.62 and 77,881.12

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Solution

The fourth proportional to 162,144.40, 243,154.62 and 77,881.12 is: 116,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,144.40 : 243,154.62 = 77,881.12 : x
  2. Step 2: Convert to fraction form
    162,144.40/243,154.62 = 77,881.12/x
  3. Step 3: Cross multiply
    162,144.40x = 243,154.62 × 77,881.12
  4. Step 4: Simplify right side
    162,144.40x = 18,937,154,138.77
  5. Step 5: Solve for x
    x = 18,937,154,138.77/162,144.40
  6. Step 6: Final answer
    x = 116,791.91

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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.