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Finding the Fourth Proportional to 117,313.32, 161,849.94 and 77,048.88

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Solution

The fourth proportional to 117,313.32, 161,849.94 and 77,048.88 is: 106,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,313.32 : 161,849.94 = 77,048.88 : x
  2. Step 2: Convert to fraction form
    117,313.32/161,849.94 = 77,048.88/x
  3. Step 3: Cross multiply
    117,313.32x = 161,849.94 × 77,048.88
  4. Step 4: Simplify right side
    117,313.32x = 12,470,356,605.07
  5. Step 5: Solve for x
    x = 12,470,356,605.07/117,313.32
  6. Step 6: Final answer
    x = 106,299.58

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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.