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Finding the Fourth Proportional to 61,356, 84,636.64 and 38,656

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Solution

The fourth proportional to 61,356, 84,636.64 and 38,656 is: 53,323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,356 : 84,636.64 = 38,656 : x
  2. Step 2: Convert to fraction form
    61,356/84,636.64 = 38,656/x
  3. Step 3: Cross multiply
    61,356x = 84,636.64 × 38,656
  4. Step 4: Simplify right side
    61,356x = 3,271,713,955.84
  5. Step 5: Solve for x
    x = 3,271,713,955.84/61,356
  6. Step 6: Final answer
    x = 53,323.46

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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.