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Finding the Fourth Proportional to 78,309.54, 108,070.74 and 48,088.89

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Solution

The fourth proportional to 78,309.54, 108,070.74 and 48,088.89 is: 66,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,309.54 : 108,070.74 = 48,088.89 : x
  2. Step 2: Convert to fraction form
    78,309.54/108,070.74 = 48,088.89/x
  3. Step 3: Cross multiply
    78,309.54x = 108,070.74 × 48,088.89
  4. Step 4: Simplify right side
    78,309.54x = 5,197,001,928.08
  5. Step 5: Solve for x
    x = 5,197,001,928.08/78,309.54
  6. Step 6: Final answer
    x = 66,364.86

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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.