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Finding the Fourth Proportional to 73,009.34, 109,514.00 and 28,656.98

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Solution

The fourth proportional to 73,009.34, 109,514.00 and 28,656.98 is: 42,985.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,009.34 : 109,514.00 = 28,656.98 : x
  2. Step 2: Convert to fraction form
    73,009.34/109,514.00 = 28,656.98/x
  3. Step 3: Cross multiply
    73,009.34x = 109,514.00 × 28,656.98
  4. Step 4: Simplify right side
    73,009.34x = 3,138,340,031.79
  5. Step 5: Solve for x
    x = 3,138,340,031.79/73,009.34
  6. Step 6: Final answer
    x = 42,985.46

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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.