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Finding the Fourth Proportional to 516,729.15, 775,108.29 and 142,752.15

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Solution

The fourth proportional to 516,729.15, 775,108.29 and 142,752.15 is: 214,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,729.15 : 775,108.29 = 142,752.15 : x
  2. Step 2: Convert to fraction form
    516,729.15/775,108.29 = 142,752.15/x
  3. Step 3: Cross multiply
    516,729.15x = 775,108.29 × 142,752.15
  4. Step 4: Simplify right side
    516,729.15x = 110,648,374,880.32
  5. Step 5: Solve for x
    x = 110,648,374,880.32/516,729.15
  6. Step 6: Final answer
    x = 214,132.25

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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.