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Finding the Fourth Proportional to 57,038.94, 78,714.28 and 31,544

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Solution

The fourth proportional to 57,038.94, 78,714.28 and 31,544 is: 43,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,038.94 : 78,714.28 = 31,544 : x
  2. Step 2: Convert to fraction form
    57,038.94/78,714.28 = 31,544/x
  3. Step 3: Cross multiply
    57,038.94x = 78,714.28 × 31,544
  4. Step 4: Simplify right side
    57,038.94x = 2,482,963,248.32
  5. Step 5: Solve for x
    x = 2,482,963,248.32/57,038.94
  6. Step 6: Final answer
    x = 43,531.02

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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.