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Finding the Fourth Proportional to 130,424, 195,503.52 and 51,429.76

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Solution

The fourth proportional to 130,424, 195,503.52 and 51,429.76 is: 77,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,424 : 195,503.52 = 51,429.76 : x
  2. Step 2: Convert to fraction form
    130,424/195,503.52 = 51,429.76/x
  3. Step 3: Cross multiply
    130,424x = 195,503.52 × 51,429.76
  4. Step 4: Simplify right side
    130,424x = 10,054,699,112.76
  5. Step 5: Solve for x
    x = 10,054,699,112.76/130,424
  6. Step 6: Final answer
    x = 77,092.40

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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.