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Finding the Fourth Proportional to 78,572.30, 108,426.20 and 42,762.20

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Solution

The fourth proportional to 78,572.30, 108,426.20 and 42,762.20 is: 59,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,572.30 : 108,426.20 = 42,762.20 : x
  2. Step 2: Convert to fraction form
    78,572.30/108,426.20 = 42,762.20/x
  3. Step 3: Cross multiply
    78,572.30x = 108,426.20 × 42,762.20
  4. Step 4: Simplify right side
    78,572.30x = 4,636,542,093.70
  5. Step 5: Solve for x
    x = 4,636,542,093.70/78,572.30
  6. Step 6: Final answer
    x = 59,009.89

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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.