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Finding the Fourth Proportional to 47,281.80, 70,938.90 and 21,005.40

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Solution

The fourth proportional to 47,281.80, 70,938.90 and 21,005.40 is: 31,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,281.80 : 70,938.90 = 21,005.40 : x
  2. Step 2: Convert to fraction form
    47,281.80/70,938.90 = 21,005.40/x
  3. Step 3: Cross multiply
    47,281.80x = 70,938.90 × 21,005.40
  4. Step 4: Simplify right side
    47,281.80x = 1,490,099,970.06
  5. Step 5: Solve for x
    x = 1,490,099,970.06/47,281.80
  6. Step 6: Final answer
    x = 31,515.30

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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.