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Finding the Fourth Proportional to 70,590.42, 105,889.77 and 19,985.22

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Solution

The fourth proportional to 70,590.42, 105,889.77 and 19,985.22 is: 29,979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,590.42 : 105,889.77 = 19,985.22 : x
  2. Step 2: Convert to fraction form
    70,590.42/105,889.77 = 19,985.22/x
  3. Step 3: Cross multiply
    70,590.42x = 105,889.77 × 19,985.22
  4. Step 4: Simplify right side
    70,590.42x = 2,116,230,349.20
  5. Step 5: Solve for x
    x = 2,116,230,349.20/70,590.42
  6. Step 6: Final answer
    x = 29,979.00

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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.