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Finding the Fourth Proportional to 209,848.80, 314,710.71 and 76,697.97

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Solution

The fourth proportional to 209,848.80, 314,710.71 and 76,697.97 is: 115,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,848.80 : 314,710.71 = 76,697.97 : x
  2. Step 2: Convert to fraction form
    209,848.80/314,710.71 = 76,697.97/x
  3. Step 3: Cross multiply
    209,848.80x = 314,710.71 × 76,697.97
  4. Step 4: Simplify right side
    209,848.80x = 24,137,672,594.26
  5. Step 5: Solve for x
    x = 24,137,672,594.26/209,848.80
  6. Step 6: Final answer
    x = 115,024.12

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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.