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Finding the Fourth Proportional to 162,080.70, 243,011.70 and 77,881.20

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Solution

The fourth proportional to 162,080.70, 243,011.70 and 77,881.20 is: 116,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,080.70 : 243,011.70 = 77,881.20 : x
  2. Step 2: Convert to fraction form
    162,080.70/243,011.70 = 77,881.20/x
  3. Step 3: Cross multiply
    162,080.70x = 243,011.70 × 77,881.20
  4. Step 4: Simplify right side
    162,080.70x = 18,926,042,810.04
  5. Step 5: Solve for x
    x = 18,926,042,810.04/162,080.70
  6. Step 6: Final answer
    x = 116,769.26

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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.