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Finding the Fourth Proportional to 102,609.60, 153,914.40 and 47,313.60

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Solution

The fourth proportional to 102,609.60, 153,914.40 and 47,313.60 is: 70,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,609.60 : 153,914.40 = 47,313.60 : x
  2. Step 2: Convert to fraction form
    102,609.60/153,914.40 = 47,313.60/x
  3. Step 3: Cross multiply
    102,609.60x = 153,914.40 × 47,313.60
  4. Step 4: Simplify right side
    102,609.60x = 7,282,244,355.84
  5. Step 5: Solve for x
    x = 7,282,244,355.84/102,609.60
  6. Step 6: Final answer
    x = 70,970.40

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1.5x scale

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.