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Finding the Fourth Proportional to 56,490, 77,956.20 and 31,339.68

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Solution

The fourth proportional to 56,490, 77,956.20 and 31,339.68 is: 43,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,490 : 77,956.20 = 31,339.68 : x
  2. Step 2: Convert to fraction form
    56,490/77,956.20 = 31,339.68/x
  3. Step 3: Cross multiply
    56,490x = 77,956.20 × 31,339.68
  4. Step 4: Simplify right side
    56,490x = 2,443,122,362.02
  5. Step 5: Solve for x
    x = 2,443,122,362.02/56,490
  6. Step 6: Final answer
    x = 43,248.76

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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.