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Finding the Fourth Proportional to 78,323.67, 108,083.76 and 42,512.92

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Solution

The fourth proportional to 78,323.67, 108,083.76 and 42,512.92 is: 58,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,323.67 : 108,083.76 = 42,512.92 : x
  2. Step 2: Convert to fraction form
    78,323.67/108,083.76 = 42,512.92/x
  3. Step 3: Cross multiply
    78,323.67x = 108,083.76 × 42,512.92
  4. Step 4: Simplify right side
    78,323.67x = 4,594,956,242.18
  5. Step 5: Solve for x
    x = 4,594,956,242.18/78,323.67
  6. Step 6: Final answer
    x = 58,666.25

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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.