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Finding the Fourth Proportional to 72,284.48, 108,426.86 and 47,345.40

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Solution

The fourth proportional to 72,284.48, 108,426.86 and 47,345.40 is: 71,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,284.48 : 108,426.86 = 47,345.40 : x
  2. Step 2: Convert to fraction form
    72,284.48/108,426.86 = 47,345.40/x
  3. Step 3: Cross multiply
    72,284.48x = 108,426.86 × 47,345.40
  4. Step 4: Simplify right side
    72,284.48x = 5,133,513,057.44
  5. Step 5: Solve for x
    x = 5,133,513,057.44/72,284.48
  6. Step 6: Final answer
    x = 71,018.19

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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.