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Finding the Fourth Proportional to 56,342.81, 77,750.12 and 30,844.29

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Solution

The fourth proportional to 56,342.81, 77,750.12 and 30,844.29 is: 42,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,342.81 : 77,750.12 = 30,844.29 : x
  2. Step 2: Convert to fraction form
    56,342.81/77,750.12 = 30,844.29/x
  3. Step 3: Cross multiply
    56,342.81x = 77,750.12 × 30,844.29
  4. Step 4: Simplify right side
    56,342.81x = 2,398,147,248.81
  5. Step 5: Solve for x
    x = 2,398,147,248.81/56,342.81
  6. Step 6: Final answer
    x = 42,563.50

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1.5x scale

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.