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Finding the Fourth Proportional to 57,878, 79,871.64 and 31,382

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Solution

The fourth proportional to 57,878, 79,871.64 and 31,382 is: 43,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,878 : 79,871.64 = 31,382 : x
  2. Step 2: Convert to fraction form
    57,878/79,871.64 = 31,382/x
  3. Step 3: Cross multiply
    57,878x = 79,871.64 × 31,382
  4. Step 4: Simplify right side
    57,878x = 2,506,531,806.48
  5. Step 5: Solve for x
    x = 2,506,531,806.48/57,878
  6. Step 6: Final answer
    x = 43,307.16

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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.