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Finding the Fourth Proportional to 47,312.40, 70,903.80 and 38,564.40

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Solution

The fourth proportional to 47,312.40, 70,903.80 and 38,564.40 is: 57,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,312.40 : 70,903.80 = 38,564.40 : x
  2. Step 2: Convert to fraction form
    47,312.40/70,903.80 = 38,564.40/x
  3. Step 3: Cross multiply
    47,312.40x = 70,903.80 × 38,564.40
  4. Step 4: Simplify right side
    47,312.40x = 2,734,362,504.72
  5. Step 5: Solve for x
    x = 2,734,362,504.72/47,312.40
  6. Step 6: Final answer
    x = 57,793.78

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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.