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Finding the Fourth Proportional to 130,424.80, 195,637.20 and 47,288.80

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Solution

The fourth proportional to 130,424.80, 195,637.20 and 47,288.80 is: 70,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,424.80 : 195,637.20 = 47,288.80 : x
  2. Step 2: Convert to fraction form
    130,424.80/195,637.20 = 47,288.80/x
  3. Step 3: Cross multiply
    130,424.80x = 195,637.20 × 47,288.80
  4. Step 4: Simplify right side
    130,424.80x = 9,251,448,423.36
  5. Step 5: Solve for x
    x = 9,251,448,423.36/130,424.80
  6. Step 6: Final answer
    x = 70,933.20

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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.