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Finding the Fourth Proportional to 238,734.38, 358,025.48 and 78,780.50

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Solution

The fourth proportional to 238,734.38, 358,025.48 and 78,780.50 is: 118,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,734.38 : 358,025.48 = 78,780.50 : x
  2. Step 2: Convert to fraction form
    238,734.38/358,025.48 = 78,780.50/x
  3. Step 3: Cross multiply
    238,734.38x = 358,025.48 × 78,780.50
  4. Step 4: Simplify right side
    238,734.38x = 28,205,426,327.14
  5. Step 5: Solve for x
    x = 28,205,426,327.14/238,734.38
  6. Step 6: Final answer
    x = 118,145.64

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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.