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Finding the Fourth Proportional to 56,907.72, 85,421.70 and 31,969.08

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Solution

The fourth proportional to 56,907.72, 85,421.70 and 31,969.08 is: 47,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,907.72 : 85,421.70 = 31,969.08 : x
  2. Step 2: Convert to fraction form
    56,907.72/85,421.70 = 31,969.08/x
  3. Step 3: Cross multiply
    56,907.72x = 85,421.70 × 31,969.08
  4. Step 4: Simplify right side
    56,907.72x = 2,730,853,161.04
  5. Step 5: Solve for x
    x = 2,730,853,161.04/56,907.72
  6. Step 6: Final answer
    x = 47,987.39

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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.