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Finding the Fourth Proportional to 47,738.76, 71,602.68 and 12,681.16

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Solution

The fourth proportional to 47,738.76, 71,602.68 and 12,681.16 is: 19,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,738.76 : 71,602.68 = 12,681.16 : x
  2. Step 2: Convert to fraction form
    47,738.76/71,602.68 = 12,681.16/x
  3. Step 3: Cross multiply
    47,738.76x = 71,602.68 × 12,681.16
  4. Step 4: Simplify right side
    47,738.76x = 908,005,041.51
  5. Step 5: Solve for x
    x = 908,005,041.51/47,738.76
  6. Step 6: Final answer
    x = 19,020.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.