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Finding the Fourth Proportional to 70,256.16, 105,402.48 and 20,340.48

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Solution

The fourth proportional to 70,256.16, 105,402.48 and 20,340.48 is: 30,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,256.16 : 105,402.48 = 20,340.48 : x
  2. Step 2: Convert to fraction form
    70,256.16/105,402.48 = 20,340.48/x
  3. Step 3: Cross multiply
    70,256.16x = 105,402.48 × 20,340.48
  4. Step 4: Simplify right side
    70,256.16x = 2,143,937,036.39
  5. Step 5: Solve for x
    x = 2,143,937,036.39/70,256.16
  6. Step 6: Final answer
    x = 30,516.00

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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.