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Finding the Fourth Proportional to 56,430.40, 77,878.56 and 31,288

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Solution

The fourth proportional to 56,430.40, 77,878.56 and 31,288 is: 43,179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,430.40 : 77,878.56 = 31,288 : x
  2. Step 2: Convert to fraction form
    56,430.40/77,878.56 = 31,288/x
  3. Step 3: Cross multiply
    56,430.40x = 77,878.56 × 31,288
  4. Step 4: Simplify right side
    56,430.40x = 2,436,664,385.28
  5. Step 5: Solve for x
    x = 2,436,664,385.28/56,430.40
  6. Step 6: Final answer
    x = 43,179.99

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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.