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Finding the Fourth Proportional to 56,577.83, 84,880.71 and 39,970.40

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Solution

The fourth proportional to 56,577.83, 84,880.71 and 39,970.40 is: 59,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,577.83 : 84,880.71 = 39,970.40 : x
  2. Step 2: Convert to fraction form
    56,577.83/84,880.71 = 39,970.40/x
  3. Step 3: Cross multiply
    56,577.83x = 84,880.71 × 39,970.40
  4. Step 4: Simplify right side
    56,577.83x = 3,392,715,506.58
  5. Step 5: Solve for x
    x = 3,392,715,506.58/56,577.83
  6. Step 6: Final answer
    x = 59,965.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.