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Finding the Fourth Proportional to 47,289.60, 70,934.40 and 19,641.60

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Solution

The fourth proportional to 47,289.60, 70,934.40 and 19,641.60 is: 29,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,289.60 : 70,934.40 = 19,641.60 : x
  2. Step 2: Convert to fraction form
    47,289.60/70,934.40 = 19,641.60/x
  3. Step 3: Cross multiply
    47,289.60x = 70,934.40 × 19,641.60
  4. Step 4: Simplify right side
    47,289.60x = 1,393,265,111.04
  5. Step 5: Solve for x
    x = 1,393,265,111.04/47,289.60
  6. Step 6: Final answer
    x = 29,462.40

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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.