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Finding the Fourth Proportional to 77,969.46, 107,597.91 and 42,159.49

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Solution

The fourth proportional to 77,969.46, 107,597.91 and 42,159.49 is: 58,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,969.46 : 107,597.91 = 42,159.49 : x
  2. Step 2: Convert to fraction form
    77,969.46/107,597.91 = 42,159.49/x
  3. Step 3: Cross multiply
    77,969.46x = 107,597.91 × 42,159.49
  4. Step 4: Simplify right side
    77,969.46x = 4,536,273,010.67
  5. Step 5: Solve for x
    x = 4,536,273,010.67/77,969.46
  6. Step 6: Final answer
    x = 58,180.13

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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.