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Finding the Fourth Proportional to 148,776, 205,312.50 and 81,708

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Solution

The fourth proportional to 148,776, 205,312.50 and 81,708 is: 112,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,776 : 205,312.50 = 81,708 : x
  2. Step 2: Convert to fraction form
    148,776/205,312.50 = 81,708/x
  3. Step 3: Cross multiply
    148,776x = 205,312.50 × 81,708
  4. Step 4: Simplify right side
    148,776x = 16,775,673,750
  5. Step 5: Solve for x
    x = 16,775,673,750/148,776
  6. Step 6: Final answer
    x = 112,757.93

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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.