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Finding the Fourth Proportional to 77,031.99, 106,304.85 and 45,201.42

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Solution

The fourth proportional to 77,031.99, 106,304.85 and 45,201.42 is: 62,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,031.99 : 106,304.85 = 45,201.42 : x
  2. Step 2: Convert to fraction form
    77,031.99/106,304.85 = 45,201.42/x
  3. Step 3: Cross multiply
    77,031.99x = 106,304.85 × 45,201.42
  4. Step 4: Simplify right side
    77,031.99x = 4,805,130,172.89
  5. Step 5: Solve for x
    x = 4,805,130,172.89/77,031.99
  6. Step 6: Final answer
    x = 62,378.37

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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.