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Finding the Fourth Proportional to 47,128, 64,988.40 and 31,206.64

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Solution

The fourth proportional to 47,128, 64,988.40 and 31,206.64 is: 43,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,128 : 64,988.40 = 31,206.64 : x
  2. Step 2: Convert to fraction form
    47,128/64,988.40 = 31,206.64/x
  3. Step 3: Cross multiply
    47,128x = 64,988.40 × 31,206.64
  4. Step 4: Simplify right side
    47,128x = 2,028,069,602.98
  5. Step 5: Solve for x
    x = 2,028,069,602.98/47,128
  6. Step 6: Final answer
    x = 43,033.22

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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.