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Finding the Fourth Proportional to 105,215.20, 157,688.40 and 42,815.20

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Solution

The fourth proportional to 105,215.20, 157,688.40 and 42,815.20 is: 64,168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,215.20 : 157,688.40 = 42,815.20 : x
  2. Step 2: Convert to fraction form
    105,215.20/157,688.40 = 42,815.20/x
  3. Step 3: Cross multiply
    105,215.20x = 157,688.40 × 42,815.20
  4. Step 4: Simplify right side
    105,215.20x = 6,751,460,383.68
  5. Step 5: Solve for x
    x = 6,751,460,383.68/105,215.20
  6. Step 6: Final answer
    x = 64,168.11

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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.