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Finding the Fourth Proportional to 56,345.68, 77,754 and 30,847.09

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Solution

The fourth proportional to 56,345.68, 77,754 and 30,847.09 is: 42,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,345.68 : 77,754 = 30,847.09 : x
  2. Step 2: Convert to fraction form
    56,345.68/77,754 = 30,847.09/x
  3. Step 3: Cross multiply
    56,345.68x = 77,754 × 30,847.09
  4. Step 4: Simplify right side
    56,345.68x = 2,398,484,635.86
  5. Step 5: Solve for x
    x = 2,398,484,635.86/56,345.68
  6. Step 6: Final answer
    x = 42,567.32

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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.