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Finding the Fourth Proportional to 178,187.42, 245,830.13 and 101,710.76

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Solution

The fourth proportional to 178,187.42, 245,830.13 and 101,710.76 is: 140,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,187.42 : 245,830.13 = 101,710.76 : x
  2. Step 2: Convert to fraction form
    178,187.42/245,830.13 = 101,710.76/x
  3. Step 3: Cross multiply
    178,187.42x = 245,830.13 × 101,710.76
  4. Step 4: Simplify right side
    178,187.42x = 25,003,567,615.49
  5. Step 5: Solve for x
    x = 25,003,567,615.49/178,187.42
  6. Step 6: Final answer
    x = 140,321.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.