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Finding the Fourth Proportional to 77,646.98, 107,156.76 and 47,427.41

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Solution

The fourth proportional to 77,646.98, 107,156.76 and 47,427.41 is: 65,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,646.98 : 107,156.76 = 47,427.41 : x
  2. Step 2: Convert to fraction form
    77,646.98/107,156.76 = 47,427.41/x
  3. Step 3: Cross multiply
    77,646.98x = 107,156.76 × 47,427.41
  4. Step 4: Simplify right side
    77,646.98x = 5,082,167,590.79
  5. Step 5: Solve for x
    x = 5,082,167,590.79/77,646.98
  6. Step 6: Final answer
    x = 65,452.22

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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.