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Finding the Fourth Proportional to 115,217.60, 172,826.40 and 102,970.40

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Solution

The fourth proportional to 115,217.60, 172,826.40 and 102,970.40 is: 154,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,217.60 : 172,826.40 = 102,970.40 : x
  2. Step 2: Convert to fraction form
    115,217.60/172,826.40 = 102,970.40/x
  3. Step 3: Cross multiply
    115,217.60x = 172,826.40 × 102,970.40
  4. Step 4: Simplify right side
    115,217.60x = 17,796,003,538.56
  5. Step 5: Solve for x
    x = 17,796,003,538.56/115,217.60
  6. Step 6: Final answer
    x = 154,455.60

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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.