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Finding the Fourth Proportional to 509,155.34, 763,732.98 and 130,076.87

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Solution

The fourth proportional to 509,155.34, 763,732.98 and 130,076.87 is: 195,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,155.34 : 763,732.98 = 130,076.87 : x
  2. Step 2: Convert to fraction form
    509,155.34/763,732.98 = 130,076.87/x
  3. Step 3: Cross multiply
    509,155.34x = 763,732.98 × 130,076.87
  4. Step 4: Simplify right side
    509,155.34x = 99,343,991,735.51
  5. Step 5: Solve for x
    x = 99,343,991,735.51/509,155.34
  6. Step 6: Final answer
    x = 195,115.29

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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.