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Finding the Fourth Proportional to 243,341.20, 365,011.78 and 77,129.20

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Solution

The fourth proportional to 243,341.20, 365,011.78 and 77,129.20 is: 115,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,341.20 : 365,011.78 = 77,129.20 : x
  2. Step 2: Convert to fraction form
    243,341.20/365,011.78 = 77,129.20/x
  3. Step 3: Cross multiply
    243,341.20x = 365,011.78 × 77,129.20
  4. Step 4: Simplify right side
    243,341.20x = 28,153,066,581.98
  5. Step 5: Solve for x
    x = 28,153,066,581.98/243,341.20
  6. Step 6: Final answer
    x = 115,693.79

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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.