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Finding the Fourth Proportional to 56,445.66, 77,895.90 and 30,954.34

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Solution

The fourth proportional to 56,445.66, 77,895.90 and 30,954.34 is: 42,717.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,445.66 : 77,895.90 = 30,954.34 : x
  2. Step 2: Convert to fraction form
    56,445.66/77,895.90 = 30,954.34/x
  3. Step 3: Cross multiply
    56,445.66x = 77,895.90 × 30,954.34
  4. Step 4: Simplify right side
    56,445.66x = 2,411,216,173.21
  5. Step 5: Solve for x
    x = 2,411,216,173.21/56,445.66
  6. Step 6: Final answer
    x = 42,717.48

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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.