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Finding the Fourth Proportional to 77,412.40, 116,130.16 and 27,488.31

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Solution

The fourth proportional to 77,412.40, 116,130.16 and 27,488.31 is: 41,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,412.40 : 116,130.16 = 27,488.31 : x
  2. Step 2: Convert to fraction form
    77,412.40/116,130.16 = 27,488.31/x
  3. Step 3: Cross multiply
    77,412.40x = 116,130.16 × 27,488.31
  4. Step 4: Simplify right side
    77,412.40x = 3,192,221,935.91
  5. Step 5: Solve for x
    x = 3,192,221,935.91/77,412.40
  6. Step 6: Final answer
    x = 41,236.57

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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.