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Finding the Fourth Proportional to 77,501, 106,970.82 and 45,658.28

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Solution

The fourth proportional to 77,501, 106,970.82 and 45,658.28 is: 63,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,501 : 106,970.82 = 45,658.28 : x
  2. Step 2: Convert to fraction form
    77,501/106,970.82 = 45,658.28/x
  3. Step 3: Cross multiply
    77,501x = 106,970.82 × 45,658.28
  4. Step 4: Simplify right side
    77,501x = 4,884,103,651.39
  5. Step 5: Solve for x
    x = 4,884,103,651.39/77,501
  6. Step 6: Final answer
    x = 63,019.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.