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Finding the Fourth Proportional to 103,698.35, 155,630.57 and 47,564.90

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Solution

The fourth proportional to 103,698.35, 155,630.57 and 47,564.90 is: 71,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.35 : 155,630.57 = 47,564.90 : x
  2. Step 2: Convert to fraction form
    103,698.35/155,630.57 = 47,564.90/x
  3. Step 3: Cross multiply
    103,698.35x = 155,630.57 × 47,564.90
  4. Step 4: Simplify right side
    103,698.35x = 7,402,551,483.02
  5. Step 5: Solve for x
    x = 7,402,551,483.02/103,698.35
  6. Step 6: Final answer
    x = 71,385.44

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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.