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Finding the Fourth Proportional to 52,970, 79,455 and 19,698.44

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Solution

The fourth proportional to 52,970, 79,455 and 19,698.44 is: 29,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,970 : 79,455 = 19,698.44 : x
  2. Step 2: Convert to fraction form
    52,970/79,455 = 19,698.44/x
  3. Step 3: Cross multiply
    52,970x = 79,455 × 19,698.44
  4. Step 4: Simplify right side
    52,970x = 1,565,139,550.20
  5. Step 5: Solve for x
    x = 1,565,139,550.20/52,970
  6. Step 6: Final answer
    x = 29,547.66

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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.