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Finding the Fourth Proportional to 78,214.32, 108,024.84 and 53,020.08

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Solution

The fourth proportional to 78,214.32, 108,024.84 and 53,020.08 is: 73,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,214.32 : 108,024.84 = 53,020.08 : x
  2. Step 2: Convert to fraction form
    78,214.32/108,024.84 = 53,020.08/x
  3. Step 3: Cross multiply
    78,214.32x = 108,024.84 × 53,020.08
  4. Step 4: Simplify right side
    78,214.32x = 5,727,485,658.79
  5. Step 5: Solve for x
    x = 5,727,485,658.79/78,214.32
  6. Step 6: Final answer
    x = 73,228.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.