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Finding the Fourth Proportional to 47,078, 64,973.40 and 27,206

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Solution

The fourth proportional to 47,078, 64,973.40 and 27,206 is: 37,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,078 : 64,973.40 = 27,206 : x
  2. Step 2: Convert to fraction form
    47,078/64,973.40 = 27,206/x
  3. Step 3: Cross multiply
    47,078x = 64,973.40 × 27,206
  4. Step 4: Simplify right side
    47,078x = 1,767,666,320.40
  5. Step 5: Solve for x
    x = 1,767,666,320.40/47,078
  6. Step 6: Final answer
    x = 37,547.61

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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.