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Finding the Fourth Proportional to 205,152.60, 307,698.12 and 64,893

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Solution

The fourth proportional to 205,152.60, 307,698.12 and 64,893 is: 97,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,152.60 : 307,698.12 = 64,893 : x
  2. Step 2: Convert to fraction form
    205,152.60/307,698.12 = 64,893/x
  3. Step 3: Cross multiply
    205,152.60x = 307,698.12 × 64,893
  4. Step 4: Simplify right side
    205,152.60x = 19,967,454,101.16
  5. Step 5: Solve for x
    x = 19,967,454,101.16/205,152.60
  6. Step 6: Final answer
    x = 97,329.76

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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.