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Finding the Fourth Proportional to 74,397.88, 102,657.54 and 47,564.20

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Solution

The fourth proportional to 74,397.88, 102,657.54 and 47,564.20 is: 65,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,397.88 : 102,657.54 = 47,564.20 : x
  2. Step 2: Convert to fraction form
    74,397.88/102,657.54 = 47,564.20/x
  3. Step 3: Cross multiply
    74,397.88x = 102,657.54 × 47,564.20
  4. Step 4: Simplify right side
    74,397.88x = 4,882,823,764.07
  5. Step 5: Solve for x
    x = 4,882,823,764.07/74,397.88
  6. Step 6: Final answer
    x = 65,631.22

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1.5x scale

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.