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Finding the Fourth Proportional to 56,102.70, 77,421.70 and 30,952.20

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Solution

The fourth proportional to 56,102.70, 77,421.70 and 30,952.20 is: 42,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,102.70 : 77,421.70 = 30,952.20 : x
  2. Step 2: Convert to fraction form
    56,102.70/77,421.70 = 30,952.20/x
  3. Step 3: Cross multiply
    56,102.70x = 77,421.70 × 30,952.20
  4. Step 4: Simplify right side
    56,102.70x = 2,396,371,942.74
  5. Step 5: Solve for x
    x = 2,396,371,942.74/56,102.70
  6. Step 6: Final answer
    x = 42,714.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.