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Finding the Fourth Proportional to 56,685.40, 85,028.10 and 31,802.20

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Solution

The fourth proportional to 56,685.40, 85,028.10 and 31,802.20 is: 47,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,685.40 : 85,028.10 = 31,802.20 : x
  2. Step 2: Convert to fraction form
    56,685.40/85,028.10 = 31,802.20/x
  3. Step 3: Cross multiply
    56,685.40x = 85,028.10 × 31,802.20
  4. Step 4: Simplify right side
    56,685.40x = 2,704,080,641.82
  5. Step 5: Solve for x
    x = 2,704,080,641.82/56,685.40
  6. Step 6: Final answer
    x = 47,703.30

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1.5x scale

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.