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Finding the Fourth Proportional to 56,303.25, 77,699.47 and 30,811.88

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Solution

The fourth proportional to 56,303.25, 77,699.47 and 30,811.88 is: 42,520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,303.25 : 77,699.47 = 30,811.88 : x
  2. Step 2: Convert to fraction form
    56,303.25/77,699.47 = 30,811.88/x
  3. Step 3: Cross multiply
    56,303.25x = 77,699.47 × 30,811.88
  4. Step 4: Simplify right side
    56,303.25x = 2,394,066,280.18
  5. Step 5: Solve for x
    x = 2,394,066,280.18/56,303.25
  6. Step 6: Final answer
    x = 42,520.93

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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.