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Finding the Fourth Proportional to 57,710.08, 79,639.76 and 31,214.08

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Solution

The fourth proportional to 57,710.08, 79,639.76 and 31,214.08 is: 43,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,710.08 : 79,639.76 = 31,214.08 : x
  2. Step 2: Convert to fraction form
    57,710.08/79,639.76 = 31,214.08/x
  3. Step 3: Cross multiply
    57,710.08x = 79,639.76 × 31,214.08
  4. Step 4: Simplify right side
    57,710.08x = 2,485,881,839.82
  5. Step 5: Solve for x
    x = 2,485,881,839.82/57,710.08
  6. Step 6: Final answer
    x = 43,075.35

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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.