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Finding the Fourth Proportional to 119,765, 179,646.78 and 31,018.28

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Solution

The fourth proportional to 119,765, 179,646.78 and 31,018.28 is: 46,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,765 : 179,646.78 = 31,018.28 : x
  2. Step 2: Convert to fraction form
    119,765/179,646.78 = 31,018.28/x
  3. Step 3: Cross multiply
    119,765x = 179,646.78 × 31,018.28
  4. Step 4: Simplify right side
    119,765x = 5,572,334,123.14
  5. Step 5: Solve for x
    x = 5,572,334,123.14/119,765
  6. Step 6: Final answer
    x = 46,527.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.