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Finding the Fourth Proportional to 193,987.90, 290,782.29 and 105,053.55

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Solution

The fourth proportional to 193,987.90, 290,782.29 and 105,053.55 is: 157,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,987.90 : 290,782.29 = 105,053.55 : x
  2. Step 2: Convert to fraction form
    193,987.90/290,782.29 = 105,053.55/x
  3. Step 3: Cross multiply
    193,987.90x = 290,782.29 × 105,053.55
  4. Step 4: Simplify right side
    193,987.90x = 30,547,711,841.63
  5. Step 5: Solve for x
    x = 30,547,711,841.63/193,987.90
  6. Step 6: Final answer
    x = 157,472.25

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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.