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Finding the Fourth Proportional to 105,046.20, 157,277.70 and 102,130.20

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Solution

The fourth proportional to 105,046.20, 157,277.70 and 102,130.20 is: 152,911.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,046.20 : 157,277.70 = 102,130.20 : x
  2. Step 2: Convert to fraction form
    105,046.20/157,277.70 = 102,130.20/x
  3. Step 3: Cross multiply
    105,046.20x = 157,277.70 × 102,130.20
  4. Step 4: Simplify right side
    105,046.20x = 16,062,802,956.54
  5. Step 5: Solve for x
    x = 16,062,802,956.54/105,046.20
  6. Step 6: Final answer
    x = 152,911.79

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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.