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Finding the Fourth Proportional to 77,977.91, 116,885.45 and 56,578.92

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Solution

The fourth proportional to 77,977.91, 116,885.45 and 56,578.92 is: 84,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,977.91 : 116,885.45 = 56,578.92 : x
  2. Step 2: Convert to fraction form
    77,977.91/116,885.45 = 56,578.92/x
  3. Step 3: Cross multiply
    77,977.91x = 116,885.45 × 56,578.92
  4. Step 4: Simplify right side
    77,977.91x = 6,613,252,666.16
  5. Step 5: Solve for x
    x = 6,613,252,666.16/77,977.91
  6. Step 6: Final answer
    x = 84,809.31

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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.