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Finding the Fourth Proportional to 56,815.74, 78,406.11 and 31,666.86

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Solution

The fourth proportional to 56,815.74, 78,406.11 and 31,666.86 is: 43,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,815.74 : 78,406.11 = 31,666.86 : x
  2. Step 2: Convert to fraction form
    56,815.74/78,406.11 = 31,666.86/x
  3. Step 3: Cross multiply
    56,815.74x = 78,406.11 × 31,666.86
  4. Step 4: Simplify right side
    56,815.74x = 2,482,875,308.51
  5. Step 5: Solve for x
    x = 2,482,875,308.51/56,815.74
  6. Step 6: Final answer
    x = 43,700.48

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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.