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Finding the Fourth Proportional to 107,142.32, 160,699.80 and 28,262.48

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Solution

The fourth proportional to 107,142.32, 160,699.80 and 28,262.48 is: 42,390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,142.32 : 160,699.80 = 28,262.48 : x
  2. Step 2: Convert to fraction form
    107,142.32/160,699.80 = 28,262.48/x
  3. Step 3: Cross multiply
    107,142.32x = 160,699.80 × 28,262.48
  4. Step 4: Simplify right side
    107,142.32x = 4,541,774,883.50
  5. Step 5: Solve for x
    x = 4,541,774,883.50/107,142.32
  6. Step 6: Final answer
    x = 42,390.11

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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.