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Finding the Fourth Proportional to 77,345.40, 115,920.90 and 37,817.40

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Solution

The fourth proportional to 77,345.40, 115,920.90 and 37,817.40 is: 56,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,345.40 : 115,920.90 = 37,817.40 : x
  2. Step 2: Convert to fraction form
    77,345.40/115,920.90 = 37,817.40/x
  3. Step 3: Cross multiply
    77,345.40x = 115,920.90 × 37,817.40
  4. Step 4: Simplify right side
    77,345.40x = 4,383,827,043.66
  5. Step 5: Solve for x
    x = 4,383,827,043.66/77,345.40
  6. Step 6: Final answer
    x = 56,678.57

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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.