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Finding the Fourth Proportional to 77,138.99, 106,261.53 and 65,771.45

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Solution

The fourth proportional to 77,138.99, 106,261.53 and 65,771.45 is: 90,602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,138.99 : 106,261.53 = 65,771.45 : x
  2. Step 2: Convert to fraction form
    77,138.99/106,261.53 = 65,771.45/x
  3. Step 3: Cross multiply
    77,138.99x = 106,261.53 × 65,771.45
  4. Step 4: Simplify right side
    77,138.99x = 6,988,974,907.32
  5. Step 5: Solve for x
    x = 6,988,974,907.32/77,138.99
  6. Step 6: Final answer
    x = 90,602.36

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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.