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Finding the Fourth Proportional to 72,776, 109,164 and 29,030.72

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Solution

The fourth proportional to 72,776, 109,164 and 29,030.72 is: 43,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,776 : 109,164 = 29,030.72 : x
  2. Step 2: Convert to fraction form
    72,776/109,164 = 29,030.72/x
  3. Step 3: Cross multiply
    72,776x = 109,164 × 29,030.72
  4. Step 4: Simplify right side
    72,776x = 3,169,109,518.08
  5. Step 5: Solve for x
    x = 3,169,109,518.08/72,776
  6. Step 6: Final answer
    x = 43,546.08

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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.