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Finding the Fourth Proportional to 138,222.60, 190,746.98 and 77,793.68

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Solution

The fourth proportional to 138,222.60, 190,746.98 and 77,793.68 is: 107,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,222.60 : 190,746.98 = 77,793.68 : x
  2. Step 2: Convert to fraction form
    138,222.60/190,746.98 = 77,793.68/x
  3. Step 3: Cross multiply
    138,222.60x = 190,746.98 × 77,793.68
  4. Step 4: Simplify right side
    138,222.60x = 14,838,909,523.09
  5. Step 5: Solve for x
    x = 14,838,909,523.09/138,222.60
  6. Step 6: Final answer
    x = 107,355.16

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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.