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Finding the Fourth Proportional to 102,607.60, 153,911.40 and 47,203.60

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Solution

The fourth proportional to 102,607.60, 153,911.40 and 47,203.60 is: 70,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,607.60 : 153,911.40 = 47,203.60 : x
  2. Step 2: Convert to fraction form
    102,607.60/153,911.40 = 47,203.60/x
  3. Step 3: Cross multiply
    102,607.60x = 153,911.40 × 47,203.60
  4. Step 4: Simplify right side
    102,607.60x = 7,265,172,161.04
  5. Step 5: Solve for x
    x = 7,265,172,161.04/102,607.60
  6. Step 6: Final answer
    x = 70,805.40

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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.