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Finding the Fourth Proportional to 57,643.28, 79,547.76 and 31,147.28

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Solution

The fourth proportional to 57,643.28, 79,547.76 and 31,147.28 is: 42,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,643.28 : 79,547.76 = 31,147.28 : x
  2. Step 2: Convert to fraction form
    57,643.28/79,547.76 = 31,147.28/x
  3. Step 3: Cross multiply
    57,643.28x = 79,547.76 × 31,147.28
  4. Step 4: Simplify right side
    57,643.28x = 2,477,696,354.09
  5. Step 5: Solve for x
    x = 2,477,696,354.09/57,643.28
  6. Step 6: Final answer
    x = 42,983.26

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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.